Physics-
General
Easy
Question
For the figure
![](data:image/png;base64,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)
The correct answer is: ![stack A with rightwards arrow on top plus stack B plus with rightwards arrow on top stack C with rightwards arrow on top equals 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAWCAYAAACv8OArAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAVrfl2dQAAAlxJREFUeNrtWE1ERFEUfjIykmiRZCSS0bJN0iKJjCTJkIwkiWRWLSJp0WK0SYskMfKMWSSSFmmXJC0SSVq0iBYt2yRjZCTq3Hxxve77f/f13ngf32LOm3fPO+d+99xzr6KEFwfEFiWCL5gnlojZagmoQKyXOP6XR9wNSDyuwIJ4JPYE8NuyDpQdiHiyJsr5JCZDVLPDGM+PEp6I3VVSFgMdT6BrXBRPhAhhwIJPfirYtJ5RU489PrC0E9eJd8R3+MkRGz2Oo4G4Q7wG87CZYoL4QYxJTnQHksAjh/rqBRaJJ8Q+Yg1srRBSweNYzoij3O8R2AzBZvyeeEocc3BQsQM2/p7GlhbYnPhYsnHgcYtx4pbAvknMGL2Yxx+miduSk72KpPAoEodc+kiiJMV8SvYhMSWwD+CZEL1YdgzN+GCZyT6AutkS7yKqFvYKKz42HO45Vq4HRHgl1grszPYieoGp4AY17Re3xE6JyX7kgiibKNqOjwfsB37h0+DZh96SXtTY1kzuH5wqQYGay5wCBolXgqO0XR816HCUgCT7z7d0QsVa9KMVk6HsHsFuPYk2zY0PNnElh0lzKp4XnTISF5WRS4PB7bSAdpKdQY3mMWWhg7Dig62YOh+VfahTAlPaDXIOLYoe9onDEpLNWqUZjU01a5Us+lAFJVEm0joiKfDxtKCnNrqgmTWZDKfJPuLU0IRe9U5nOdr10YYOYZk7KcZx0FCxP3iNc3RAMcSwQrzQtl4jJoMk0DV4jVeuVFWwghIen06LqN/MxxuW9LAkdTdiIiu4Fsgr0S3j/+Abog7Pjk+zyd4AAADydEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vdmVyPjxtaT5BPC9taT48bW8+JiN4MjE5Mjs8L21vPjwvbW92ZXI+PG1vPis8L21vPjxtb3Zlcj48bXJvdz48bWk+QjwvbWk+PG1vPis8L21vPjwvbXJvdz48bW8+JiN4MjE5Mjs8L21vPjwvbW92ZXI+PG1vdmVyPjxtaT5DPC9taT48bW8+JiN4MjE5Mjs8L21vPjwvbW92ZXI+PG1vPj08L21vPjxtbj4wPC9tbj48L21hdGg+8+D6owAAAABJRU5ErkJggg==)
Related Questions to study
physics
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here is the time in second. All surfaces are smooth. The sphere is at rest with respect to the cube. what is the total force exerted by the sphere on the cube(g=10ms-2)
![](data:image/png;base64,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)
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here is the time in second. All surfaces are smooth. The sphere is at rest with respect to the cube. what is the total force exerted by the sphere on the cube(g=10ms-2)
![](data:image/png;base64,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)
physicsGeneral
physics-
A projectile A is the thrown at an angle of
to the horizontal from point P. At the same time, another projectile B is thrown with velocity
upwards from the point Q vertically below the highest point. For B to collide with A,
should be-
![](data:image/png;base64,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)
A projectile A is the thrown at an angle of
to the horizontal from point P. At the same time, another projectile B is thrown with velocity
upwards from the point Q vertically below the highest point. For B to collide with A,
should be-
![](data:image/png;base64,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)
physics-General
physics-
A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about P?
![](data:image/png;base64,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)
A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about P?
![](data:image/png;base64,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)
physics-General
physics-
Two forces each numerically equal to 10 dynes are acting as shown in the following figure, then the resultant is –
![](data:image/png;base64,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)
Two forces each numerically equal to 10 dynes are acting as shown in the following figure, then the resultant is –
![](data:image/png;base64,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)
physics-General
physics
Three Forces F1 and F2 together keep a body in equillibrcium. If F1 =3 N along the positive X axis F2 =4 N along the positive Y. axis, then the third force F3 is
Three Forces F1 and F2 together keep a body in equillibrcium. If F1 =3 N along the positive X axis F2 =4 N along the positive Y. axis, then the third force F3 is
physicsGeneral
physics-
A boat moving upstream with velocity 3
w.r.t. ground. An observer standing on boat observes that swimmer 'S' is crossing the river perpendicular to the direction of motion of boat. If river velocity is 4m/s & swimmer crosses the river width 100 m in 50 sec then -
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485436/1/896783/Picture148.png)
A boat moving upstream with velocity 3
w.r.t. ground. An observer standing on boat observes that swimmer 'S' is crossing the river perpendicular to the direction of motion of boat. If river velocity is 4m/s & swimmer crosses the river width 100 m in 50 sec then -
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485436/1/896783/Picture148.png)
physics-General
physics-
Vector
in figure represents –
![](data:image/png;base64,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)
Vector
in figure represents –
![](data:image/png;base64,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)
physics-General
physics-
The resultant of the three vectors
,
and
shown in figure is –
![](data:image/png;base64,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)
The resultant of the three vectors
,
and
shown in figure is –
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAAC8CAYAAAAdB760AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADFfSURBVHhe7Z0HeBXV2oVXOr1IlSoISpeiIEXFBgoIKqCgYi9XEUX9FbnqtYso6rV7URFUsIKiVAFBkCZNitI7QiiBEEJ6Mv9+dzIaIIEEzklOklnPM3BazpnZe83X97eDHAN58BCACM7434OHgINHTg8BC4+cHgIWHjk9BCw8cnoIWHjk9BCw8MjpIWDhkdNDwMIjp4eAhUdODwELj5weAhYeOT0ELDxyeghYeOT0ELDwyOkhYOGR00PAwiOnh4CFR04PAQuPnB4CFh45PQQsPHJ6CFh45MwJvAWq+QKPnCdA4uFYzR7WVb3fnqv4VCnV42mewSPnceEoeedkvfvuQi17/239sD1VKWkeO/MKHjmzRZo54rR9yXKV7HiR0hJWasK0dUpINuLTQ57AI2c2cFJTFR+5QNMWVNZNAx9U93KJWjL1e208mJzxCQ/+hkfObJCaEqcNU39VQst6anl2O3XuXlW7l32jWSv2GGXvIS/gkTMbpB7coZ/2lFW9M89UyYhQNenUQw1jD2rVb6u0K8UofY+hfodHzqzgONq7ba0OlKmqqjVqKyRIKl/nct1yeWltWb9Iq3ameeTMA3hd5o6C46QpNXqdpo54TS99tlQJxUoYyRms1IRYHY7eo51h5+j2x/6jwX1bqWxYSMZfefAHPMl5FBwnVZEbVumvtFIa8vU0zfxpkiZOmKAp06fr2zFv6JKQDVqxcKl2xaQo1buv/QqPnEcgTSkpB7RszXZFHrpQdWqUUIkSxVW8OEcpVT69sVq0KK9NK2drifnM4STCTR78BY+cmeCkpmnht5/rk/HjtTzuoPbujFFaaKhCOYKDlHRgm6LTSit1zQyN+OQDfbtwU8ZfevAHPHJmQmpKquL2heqiDtfowtphik1MlnHM05Fm1Hhyiqqd20X3Pj5IVzWpqcS4uIw3PfgDnkNkwBBwJCcmKskc2JIo7KDgYAUHBck464abhqgcRro65pVg8x4SNSwszD7mCOKz5ggJCbEHr3k4eRQZcrqXmdXl8trBgwe1adMmrVmzRjExMYqMjNSePXv+/vxff/1lX+M5xKtbt67Kli1r3ytRooTq1atnyVqtWjVVr15dDRs2VEREhH2fv4G0LtzHmV/zcCyKBDnT0nB0UpSIZExK0s6dO7V48WKtXr3ako7/o6Oj/yYL5AP8XZ06dXTaaacpNTVVhw8ftgTlefny5e3ndu3aZV/jbxlK/oaDxxUrVrQkrlWrliVv69atLXGLFStmiQuZ3d/ycCwKFTm5FJcgkBEyxcfHW0mIRFywYIEl5datWxUeHm6JgaQ744wzLAlr165tHzdo0MC+DyAd6jkhIUGTJk3SSy+9pAEDBqhv3772M+5vchw6dEjbt2/XqlWrtHv3bq1cuVI7duxQVFSUkpMxC4zNan6vVatWatu2rc455xyVKVPGRgOQvpDVNRE8FDJyQkoIsnnzZkvG+fPn2/8PHDhgJ79q1apWgkEK1C7PeR0Cukdm29EFj1H5d999t+bNm6drrrlGL7/8smrUqJHxiXS4JHUlJ/+D2NhYe05r167VH3/8oY0bN1qJy81TpUoVNWnSROeff77q169vbxLXXCjqKPDkRE2jrlHVTP6ff/5ppSMSCxWKJDzzzDMtGRs1amQnHonJcTQJs4I7PKNGjdK9995rfw9S/ve//9UVV1xhpd6J4BKVA/Ng7969lqTr1q2zRN2yZYu1b/neli1bqmnTpjr77LPtzYMJwLkWRWla4Mk5Z84cTZkyRb///rslJJIIlelKIiYcjzoraZgTMDxIvi5dumju3Ln2Ofbiddddp+eff96aAjmFO9SZ/8dcwBRAwi9btky//vqrtWG5oc477zx16tTJSnpIWtRQ4MiJ7QZZVqxYoXHjxllSIjmROBdeeKHOOussS8hy5cr9LXFySsSsEBcXZ6Xm4MGDrUcP+F6coo8//lhXXXWVfe1kwfAjUbFH+X5usA0bNljzgWvkfWzUnj17WvVfpCQp5Ax0mMlzzOQ5RqU6ZsKce+65xzG2o2NI6DzzzDPO+vXrHWNX2vd9DeM8OY0bN3aMtHQMIRxDdHsYgjhGemZ8yrfgWqOjox2j+p2nnnrKMR6/Y8wTe93mZnTMzWg/w7gUZhQIyelKlBEjRmjy5MkqVaqUdUquv/56q8bxmpEkpyolswJ27E8//WQdLdTutGnT1L59e3vgaeMkuZ69L+FKU2xcrv+zzz7T119/bbXEBRdcoNtvv93a0Ni8SNLCiIAkJ6fE5GCP4dVOnDjRqlBIieru16+f9bohha/JeDQ4D5wY1PsXX3yh5557Tg8++KD69++fZ8RwiWo0hCXprFmz7DkxDp07d7ZmjBs3LUwISHJiVyIpf/nlF40ZM8bGKi+55BL16tXLOjl5GQ90hwdyjh49Ws8++6wGDhxoY50Qwt83B3DPwZWkOE/ff/+9dQSxfbFHL7vsMhvwL0wIMTbbMxmP8x1ICFTY7Nmz9emnn2rq1Kk2FHTnnXfqxhtvtAFsV4XnBSkAv8MBMQiqI7WIBHDklaRyzwEpTeQBUwYHsGbNmjYsRXJg27Zt9nzIXLk3b47HyJDfGLCW+MRe0VjugRmRmJhi5yYoxHyn+XiOv/cUETCSk9PArnvllVesRKhcubLNwlx66aX2MROTV4OSFVzJyb2M5HzggQf+zp3nBxgvCEPYifAT6p6QFNoFe/T000/PsWaBmKnJifrp9YEasWSfMRn+qVMNCmLc66p5y0a67p5uOtNI6tA80Fgg3yUnthN3LGGTRx55xGZ1evToYdUm0gm1lZeSMjtgamSWnG3atMlXG4/xYFxKlixp1fm5555rX58wYYKWLl2qxo0b2/eQtCeCHVnzfaUr11T1oDWaPWWzyl5xhwb0vVIXXtBeZ5XZr/Ef/E8TFi1XhSbnq27l0ukSlL/zJ5Cc+QFz1zuGmI6RSM64ceOcpk2bOuZud7777jv7Gu8FEoy6c4YPH+4Y08Ix0t0xKi/jncAA42lsc+err75ymjRp4hjb3DFmkWNuqhyPZUriYWfnqg+cPm27OQO++MOJiU920lJTnJSEQ87Gn15wmoXXdHoPGOVs4rPpf+JX5FskF0lEvvn111+3TgbpOqQSKcG88MILGxgvxo2kAOYHkvPhhx/WkCFDrLrHZjbznfHp7GDGnHHPNPRWQoeFq2S983VezQTFxe5VTGzGm35GnpOTAcLIJgf+xhtv6Mcff7Spwddee82Gh7Dj8tu+LKhAzRPeIv5ppLyuvfZa69VTpIJJwrifkKBm3I20VEqScYji43Q4Ll5xB3Zr64pftCW6oqrXOVuVSmZ81s/Ic5sTIx67EjJSrHHPPffo5ptvtrWPgUzKQLM5jwfGkDQnuXmKR2bOnGnLBakD4Hl24+wYUh4+sEITRk7ThtgY7d+8Ur8tXKAF03/Qt6NmKrTHjbq139VqVqm4lWr+nqk8lZzEK8mwDB061NZY4gB169bt7/CHB98A4kFAkhZdu3a1kQVuLkwoildwQHFEs0NwSJjCi5dSqdJlVLZMGaWVLqViVasp/mCk1m9drcikVKXmRVcJDM+8AIb5mDFjnBYtWjjGrnQWLVpknQoM+YKAQHeIjgccpYULFzrGfHKMNLWOEvn5o5GSGOfs/HO4c71xiO4fs8o5GJdknanDh6OcP+ZNdO7tWMKp3+0O53/zdziHk/zvEuWJ5CSwS1CdGkgcH+whahbdUjYP/gV2PGV3SE4SGQ899JCMV2+D7FlJUObEPdLt2HKqcWZDtapfTQc3b9OmrfsUnweC06/kNOS3A0AGAxvTSE3rBBEgZsByGiT2cGqAZIw3qV9qFCgrfPXVV/Xdd9/Z+WGeOPAHUpJTDGHTj2Tj4WMO8FpiHOundii0XBmdVq60TlxiferwKzvwDklBvvvuu7rooousjek6Ph7yHpCUSqoPPvjALrZ766237PzExh6y3vlfq5dq3pR5+mvPLq3/Y4GmzfpZ02fM0HQjZd97aqA+2dRKXS69Wl1b11Z4qP8Fi19+gbsQo9vYlXYA8BLvu+8+myfH8WGQPOQ9GHfGv1KlSlZQMC+ffPKJdZIS4hO0dsY3mrTK0RltG6nC1jn68asv9cWYMfrCOLFb61+s+//zsgb176WG5UIUEpwHc2iI5HNgRP/6669Op06dnF69elljHIeooDg/WaEgO0RZAYdo2bJlTu/evZ0rr7zSmT9vnnGc4qzz9M+RYK/THubziUnJTkoeZu58LjlR5SydIFyEvcId2qxZMy+wHmBAgrIE+q677rJzNuTll7Vly1brpBIjTT8irK1qj/BwhYeFGomZd36Cz3+J4mBSZvv377cVRpR2caEeMQMLRjDZ8kSaSVSoUMGqduKhrM/ivUCAz8hJSIILI2REVQwV4yzI8oLrgQFy6yxF/vzzz20lPw4qgoPlzjhF2J80g6DOgdBfIMBn5CQkwXIK1ttQT+hKTC9cFBggTESe/fHHH9d7771nV3eSPkbD8d6jjz6qW2+91YaXvv3225zl4f2MU2YOF8BdSZOAkSNH2iA7VeukzjwEDtBgrCigagkTyyUevgC1oAgT/APqBpCuFDAjcPITp0xO7jr6AlGmxd3GoisaV3mxzMABRGSesC9Lly5ttRkHJOU5VWEs/eDx//3f/9nSO1a60okEcy2/JOgpkxOpCTEXLlyoO+64wzYAcC/cQ2AAYtJJj9I5SEebHuYJUF7Xrl072zMKT506UAQMKz2pqofQBZKcSEoumjxthw4dbKEwF+khMIDUY44oUXzhhResTwAZydj95z//seuzaHdDHylXoOAnXHzxxXYuqbXFuUUA5QvMXXFSMHejs3fvXufqq6922rdv76xduzbgllb4EgUxCE8g3TiojrEpHSM0nD59+tguIoZsNgi/cuVKexwN3jeeuw3O9+3b14mKisp4J29xUpLT/J29K+lAQRErDQYIRXiqPDCApEMd43nfdttt1icg2E5vURqEISVxkJCYqPGjwfsUh9BVZfny5bZ/AKtPmfe8xEmRE2LSpoWYJt5d9+7dbRbBI2f+AvJATLo1v/nmm7Y0DhISy3ziiSeso+rOEwTMLmvHa/yd0Yp2fkmmkFwpEOSklySxMi7g6aeftoa0h/wHxTb0JsWepHYWKckqHDSbu8Q6p4CgrFAg/ERy5e23387z2GeuyMmJ4flRbYQ6p0cl+VlIWvDAtSQrPj5WCeZITUowjxN06HCSklMK1uZXzAupyBkzZljHh/pZGo0hLYk5EyI6mdoG5pUa3BtuuME2umDOqZfIK+SanPv27bMBWsIRl19++d/tYQoekrR/1+/6euQzGv7DNG2Y8Z2GDXhQA9/6RbsTC86e6swJwXJ6lT755JOWQG5bcDxxCJZbUmYGf0/miMYNlNfRwjyvkCtWcdcQWmAAWDgFQQsmMaX4qL/0/duD9NJrn2rm2ClaGF5JrWvv0eJpqxQVkvtrwg6PNU5IrJFgaeZxZrB/EZOKOcRxICZWsUnm9TTjWJr3Dsfs14Gofdq7N9o4HjnLykBKfpM8+DvvvGPJiOBAhZOKdDXaqRATML8Uhtxyyy3WZCCezW/nBXI1Cwyw2x+TSuqc9EMPVBQrX0u973xOXZrX0vbitdSmSVtdPOhLLZjYX00icmumGKIc2qKvn7tTA5/9XDsOZiKnmcjkHYv09N1drQ3I0bhFG72zxMjuVOPARC3V6Oe76/xzzlL9+r312leb+ZMTAoLEx8fbxglITAQHpMQJcjvx+QKQE+2IYwQoEuGGyAuC5pic3KV4gah0mpeSQy/IKUoaVIWGhSvUSMkqlSqqRLFiCgkNN95smBmUXEqbpGht/e0HjftxqnYkp2Tai92Rk7RP61fO1cGYVFulxdGg3h26rJX5UNQKffPOGO1t8JQmL1mrOW/U0PgP79Orc2IVn5T10l1IQViHEE+fPn1sMQeL16ifpeDGXzUNtDHHOaKGgtASzpe/kSNy4gRh10BM1qBATjJBBVWlW1h198/522fmteBgVh2mv5ZTJERv09q5C7Q7pZhSDHn+4aaj2L9Wa86S9arf9xl9PnaSpv38i6ZOfFCtwhwl7duuTdFxKl+nhvGMy6jhDU+q99nJmrl8rZWqRwMBgeMDOaguwryiYIOwUffuV5k5KcbtoOSkRKUmJynFSNPEZN+sMWe+sWH5Hx7QEdDfyDE5kZo//PCDTW2xrNfDP1ixbJFWlLxMzdrUy3glHU5qolYunK5RH32m/738hB5/7nWNmbxGcYnpUjGidBmVSYvVzAVrtGZfnNIOJimsbLjqVEvvynE06MVJHQNqnDgznjghPaqKQkNSFb17jWZM/UyTF69R5KJp+vbDkRozY72iE089/cj5sAYMwcQOJvS58jdyTM6ff/7Z3rXkY2mtV6BhJFpqUrziD0Up7nCM9h2IUdTBOCUk5W4SWTIbt+I7zVheShdc3FqnBR09nMEqV6OFut31kDq3qKhlU0ZqyHNP69P5u5VqxHN45bPV6dqOqrRnuj5+c5heHfaV4prdqlvaVlNYyD/iGxVK7SU5ceKN2Jqo2Mcee8xm5ogzx+/doAmjhur551/Ql19O0aKoA4r87Rt9/u0SRWV8z6kALYnJQGiJ86Flpd+zRubLTwjysJdcconNo7PLA3n1ggza+kVv/s0Z3r+Fc0bl4k7J6o2c8/q95yzbE5PxiWORVW79UPQy59Ub7nW+WbXTid2+3Bl8Yzvn0v5vOJv2/dNNgzx1XNwhJ3L7WmfWN0OdCytXcBp3HOosN+8lpaUa4Rrt/LXxd2fB/HnOvHkrnC0H4hzjxZsxTv97xnrdunV2IVrFihWdRo0aOZ999pmzf//+I2oZEmN2O39MetO5ol1D54J73nTW7N7nHNiy0lmyYodzyOh1X2HLli2OuTGcm2++2T7m+vyFE0pOvECMb8Q4fcexOU41PJHf4PyLV6yjqx4eoe+nztEvP36hD/7dQ7VL5HBXDMeo5dR4Rc/+Snu6DlLnuqeJ6FNWw4I6LF68lCpXr682nW/XR8OuV3zk1/r5d/MVZviDw8vq9DrN1LoNrbybqFZZ45jZ70nvxkcLcvLi9JjCCx82bJhtrouDktnmDy95murWa6AKZYqrfI26Or1UaZWt1VgtmlRTSR/OF12mKbdjSQcpTbSqv3BCcjJAY8eOtaVUGMQF2glyYdRveKmKqlq3uc5p3kqtWjRTywbVVL5kDttoG3I6kVP13vo2euaaygpVmuITEm1mKS0lSYnGeTw6ycQNEVGqjM7se42uKxGsw3HGXMpwyHkv82GEhhUKZHzYSoaMHHb+Rx99ZEvZyPjwuaPh/n2ozQZl/t6MD/gAmBCEEVHxZI3ylZwY4cS2cIQIumc1KEUOQaE6GBmjxA3jLHns8chz+m7eZq2dNlKDH3xOk7dlEUzHPjM3e3CF9mpT10i7LCJxeOQE0//3v//ZuCXCgRaRX375pY2R5vf4owmoZqKXKjcP5+cvgp6QnPR2JPhOI1LuGo+cBkbylmvZT8PeHalPR42y2w+OevsF9b7gTDW44i699v6L6lY7QqkpB7Vm5WKt3bFXMUaaxuzbqTWLd6vKfbfp0qpS5o4uTDAVRWy3DTHpKYUEpX8pe2y6/aWyQ1pqshKMc5ecmKBYI5YTklKVnGnjAV+B+YcHrN5EcNGjgBvKHzguOflR0lW0L2nevLlP0mGFBmYYggxJMXOIjzIujAz/4rTzODnxoMZ/+pIGPva4njBkGzn5F/2Z0lj9ejS272cGxHSXVOORk8umughyYl+eaNwPbFuuH78ZoVUbtmvltNF6edQ87Tzsn0A510xIiXVHJAGQnv5AtuSEmGwjQnyTLr5eY4SjkWkszLiElq2hrrc+qgevu1AVSxh9bd4Oi6iiS7rfoh4d26hJnTqq37CFLurQUmWC/tHnjDMhGZZQUEXE0mrilv/+979z1Vg3tHgZ1T73Kj305FA9fVc3Na5TURF+6mcEDyAmSz5ICBDaQsr7HLjsWcHcDY7xEJ0OHTrYpq+U/BdlnGiZBiEfwiocPHbB86TkZNsrij5DRwd1YmJinLfeesuGiMLDw51bb73V2bRpk91kNvP3nAiEx1JTkszvcJjfS0l1Un0YQsoMzgt+fPjhh07VqlWduXPn5upcc4psJSdqhk0FCLgSeC0UXroPgJSjAojtDqlnRe0SzSBIzntH2184EGFG8iH96DPkyjIzmfZvsC3plUlYhpQkfUzJxOTWvg8KDrHtskNDOczvhWBy+E9ycl3YnfCEDWv9gWwZRy6dlZVkIMine+RMBxNPoUUdo6ZZp8MKRbx1ohkU+uIgULUD+bIDBMZcoqcUxGSyX3zxRZuWpGLdJaURHvZ7svou3uN73MMILvPaP++lpbnvpdnnvgbkpEsyWxxCTn/8RraM407Gc2Qi3IX4HtLjfCQjWAbBkmgaYJHfpr51yZIltmQN0hGbJFaZedJ4jKThPbprsAux2w6bavMjbUtHyYf3aunP07R8w94jJ99JU8K+zZoy6Ud988039vhp7hJtizFOmCFjUsw2LZv9vX74frwmTF6srbv8s3EQnEB6bty40d6ox7shTwrmorPE1KlTnVatWtkd1Y62o4oiTmRz8pw+pEY1O82bN3c6d+5sd1Mj3WskmD0OHTrkGEnrmAl1ypYta9PBjLMxBzK+xUWak5ZyyNk0833n6sa1nXs+XP5PqtLMQ1ryQWftN/9xGtep6pQsWcopVaq8067XE870HalOfPRmZ9aIIc6T/77Tuef2251rLuvp/PvtSc62aHMOPp5Drhl+sAnC7NmzrZ3sS2QrDolhAcJIiPDc2D9FERTkYpsPGjTIdnNmaS3eNz3Yo6KibGCdXlIUa1BRxJJdFgd27Njx2PilkZJpe/7Q/HHj9Ptf+5T0TxGeeStNKZHLNWFTkO579Bm9887bNvT0RP+b1Lxymg6t/kmfTIlUu7uGaOiwF/XIbWdp9eLJ+ulP8z0pvlW9SE5K9gyPrH+CVvAljiEnP4Q6IvBOiqrAVyDlEbh5UfnEJIkBot6vv/56W+LGenFsSkhLjQKbV2GnUrB9zBosiJkWo5Ur12l/ySqKqFQ2MzXNe4e14pepmj5pslZHBat+h57qaRyzyzucpfLBjhKj92rf/lSllDQOVUQpndn0fNUsn6ADh+MzfY9vwDUbDWDtZK4LG9eXyJKcGPTc7cSyKPTwkHvgSJJ+7N27t5WYH374oQ1W0+UZpwlHKmtHJ03RW7Zp8ZYgVWnZSeVKZFoKY95L3b1O306epZnzFuujlx9VnyvaavD7SxWfmGrJUqF+Q9UNWqaHXp+njYfidGjHRkWUqaKza/l+vRe/h1ZlEwoiD762ObMkJ1KTH3M9dQ+5B2El1DfNsIh8sAaHNCfPaUOIuseRoj/mP+rQUUL0bq2cM0VBVc/TRXUiFHaENRWskCrn6NG3xuu3JdP15sNXKSjhoMa+fa9en7ZNSUHBCq15hYZ++Khu3PeSbut6tR757IAuuOEBXVon9Ih0qS/gkpPIBWYgAs2XOOZ0YT9b//FDhAo8tZ47MH40ISDTQxyU0jLjHNl4JvYlNjwhJ8reaNKKp52eYTFSxxw7t0zX7C1VddHFNVQizExQZnJChtAwo0YrqGnTjrr72ZFaPvkltU6N0oKxP2h1UrCCwkuoeO0eevbDOfp98Tz9MOY5XXV2JftdmeqXfQbISd6fQnTXT/EVspScrA/hbqd2DzvKQ87A2O3YscNKRFpbM4as+WbxWeaeRNjyAwYMsM4EAXzqZZMS45Ua/adWLtmldn16qXZ4qP0+wH8ZDzPBMM1IyuJ1e+j5V7srImGdNm/j5sh4Ow/gSk40rLv02ZfIVnKSGcptC5OiCkiEal6zZo1dQ06Wh1oECEozVhyfzDFMbni0Ut++fe3kjhkzRrsjI3Xw99EaMz9am+aM1shRn+ijsbO060CcNsw0zz+drE3HhCuNExYRpopNm6t5yYoqTq20r72e48AlJ0KMGzHPJCc/jCfG/x6OD4hJloQqIpqbEUbCQ0c6ovKyghuGoVErzQpmzpqj0Fpddcf1FxlJVEu1a9VW7WoVVSwsRCUr1lDNmsY5zeD3EZLUPEhOSFO5Fu11blVD/HyQJUQcuOF8vSLzmEshHIDNxOBxt3vkzB6MFRKD1YhUEbFklh5FhI2oWEd9I1myAuOKPU+2CbU4cdIkhZ7eSpdf3kmdOnVWp87m/3ZNdVrpYqrWrKMuu6SlqkQkaduanzVi5CeauXaz9hg7b9OiSXaBXZeb2qliBN+b8QN5CHjCtWbtrXMXpSk5KU5xsdFG/UcpypgAB2IPKzY+wWro7Lz8LNU65ORO4I7wkD2IB7Ncmkp16l5xcsiV08aayToRXO1Ezym2YSGQnTlWaGtDzWf+FhCOIXpaiqZ9+5p6tG2ls7v30NvLwtSxX2/Vq5B/URXOj7GAN8eCnH+MIld/ricf6aAmjeupXoOGat3/YY1etlTTps801521rXpcch6v8roog7sdx4cc+r/+9S8bC8a+pN2gu1nD34Q6AZA69DetWrWqtVeRxOkIVnjDHhr700L997oz0r/PHNXOuljvfz5H69eu0ZrvxumF2y5X7bDQYyfSx+C8cNy4icijZ84GcQ3cZHCHI92R40jRoV0bNPbFQbr7gbFKbjlUcxb9oTUrV2jyv27Sxo9f0sPPf6zFB6JFubJrqbg45pr4YkIbqPXcDHJRwqZNm2zqETJRFHP//fdr8ODB1jFg3BhDd6JOdDC+NMoiOM9KSwSDfc98R4iZ9HLlyqqUUf98J3MeHBxiiVC5YkVVKldOpSgCN593Mn2nPw7itoS92JSCbnMrV660jjOSnmugbxYE/vvmcszfJR/S79M/1NBhv6pR74f1+M1djR1dTVXMONVre4EeeOBedWtSUqHmO7JS7EHmoo8gLDlg1qwQ50Qy4FVmZzcVJTA5pCIhIUB6slQXlU4c82Q7O6eTzrExT3ZPI7REh7hAA0RkbRN7FHGdhMaoaaVUkJQty0twBCn744ZNS01S7O5Feuveh/R1UjsNffUpdW5S0cZt3VFKjN+jBWNnKPmsc3R+60YiF5lZWh5DTmJVTACDT1Et3qYXTkon5/Dhw63ERLoxQZS70ZjrVMEUuE3ScKiokQw0IBGxiVHrcAMgLYk4sBqT11lnBjnRBGnJiYpc9o7uvnakkrs8qGFDb9I5FY5MhacZOzV661bFGk1AcqKYeS3z7X0MOWluT60hIHjskTMdTAgbANBfHSkCOd2Ihi+AeuRASwWipkK1Y2e6ah5wnjjNaBCISlUW4TRqMlKS4rV17EBd+cgCNeg5WK8OuVYNy0C/TMjQGmYw7XG03slSraNeiPi7krOoqPUUc7enJCcpMSklo/W2cUqMui5ewth1xlyPO3zY7mr2j9NSdIDmoDaAhAHkhIyso6ftIgvdKNtjLTuSk3oM2phv/fI+dRy8VOdc85iGvdzTkDOX/VwhZ2YYcjoDBw60m/jTo8fcLRnvFHKkpTgx+5c6n754s3Peuac5pUqVcUqWbOpc0/9NZ8HeaCc+Jb3Y10xMkTyMD+IYc88x9qVjSOi8/vrrtl8T/NiwYYPTtWtXZ9CgQbagms8nJ8Y7kWtGODfUqO+0v+EVZ/72WDt+ucEx+hpVRYwOFYMYN5/JeKfwIiluvzZOGqXH+92lscnt9c6Xa7Vx4wb9/vvnurLyQg08r5vemrZJ+9OMF54p9hgQh72C9DniX+bLzllWnz2Fg3QsjhqL8FirzsI+d22ZIaON8OAIuYVCwUbblq5wkdpdGa4df/6q5X/uUGyyo8xtR3Ga4g5G6WBCvOjCfzTTsiQnPwAxCawWfqQpauNUDXnoSf2uW/Tsk3eqRd0Kqly5klFTzXTjgMfUr85uDX/waX29dp9SMuytgIAhYUrqIW1ZvUgLly/Rth17tHruL5o+90/FpKQeM9mnAtQ4VVZU8uOpE9vF3IO4kBO+uM85CHmVKFdZHXvcpeaH12ni6K81/Y8d2mezQslKSEzQzm2rtWjhPK3ZfzBncU6XnBCT4tjCLTkN0Zy9Wvr9RM3YFaqO916jRsFBCjGD6yKi+Jnq9Vh3lYqdr09e+UmR8f5vN50jOMQ2U7Rm8lA99lB/PfnMSxo/a4kWTxmhoS98qpUJSfJlXTqEyy5chpbFYUS6/g0+F1JC9dtfp+eGPKxWyes0/pVn9cLzz+m551/Sy8O+1oRftyqtUl3Vr1jZhpGO/uZjyMmP8yMQs9Ab/tRQ7l2t+Ubl7I5vqLpnhCrUXH/mQQkJD1Xldu3VKCVBu34br+V/+XadzKkAsRFe5iw1qOBoR2SiksrU0AV979bj93dRjay6hJ0isiImQIAh1I4gJ1QLMg5l2apqdtUtuvfx+9WvS1udU6uGjZ3XqG5eb9labVs0VvnwYDvmJyQnP4LtADHx0Aq15ERFRx9QlPHCk5wyRlVlMaFmPMyAqGRwklFdWxVzyD9Nq3IN26cpVLVbdVfP9nVUrkpVVa/TQKfXP1+XdumgWmFhyqsYC1qWiqQjyZkBCB0eroqNW+nC627SzbffoTtuv0X9brhYrRtUFgnyrCmfBTmxGwiiIsKpbsaeKLRg4MpXUM1SpVU8iOvM4lq5ORkDJ0zhEQ1UsfwxQ5Z/MOcfEhKk8NAQhYeFKiws3Hb9CA4JTW8ulvExfwLhhTMEQenrlB04p9DwCBuai4gIV0R4mO1KcrxzPGakEd3kbjGASWEWanIiFStVV81K5VU8eL02bsLGTleXf4Pr37RR61VMxco0VdWKvgm6FwZATOzNbdu22QgPQs2XOIacqHXIyQ+5/X8KL7j82jr38mZqevpfmjZ+sXYbL5ed1dLhKCEuSsu/m63NJavpgvs66+xigbRsBXJQRXZI8ZhhRoKlYUfnEVxysiyYsJLfyYnk5IeosIGcWdfoFRagVEJV58Ib9GCvy5Q4YaSG/7JEm2MOKjEp0diXO7Rs7mg9O2qdOvV4UI/1baKwXO/u5l/sWjpO38/fqIO7t+mX6dO0LjLGp1768QA5CSHRtoglPSwR9iWOSV/yFGlJORglXOy1ndWG8YUJqcZeSjmwTtN+nKjZm3YpNiheIYfClVAyVRFOuGo076Q+l1+iGqdFWCcjL2y5nGLHgs80c02iUoOMRC9VQ+edf64aVC+bJ84QxIQr7IuJB066G2faVziGnAA7c8SIEfZgdzA6VBQFJCce0M6Na7R6yw4dwCsvWUrVa9dXs4b1VMY4HceomSIO10uniRk7FVPX6ssmHFmON3YnJUyEkwq3Wj8SoeFlVfPs83Tp5Ver5zXXqmfnzmrXqJ7KesTMEsg1t4SONuG+LhDKdsypRkJEr1+/3pI0CwFb6GB7vIcQkklfPxVu/rfbpmS87+FI4AzRdpuxoqYzz8iJDcF6GHaJPVEzVA9FE3Bi1qxZNr5JFbyvaltdZEtOfpAiUhqDuutaPHhwAR9I0rCWiNUAviYmyJaciGiKSDkBlhB45PTgAhMPPtDJmRoMlmr4A9mSkzsBcpIvxa7AvvDgwQVhpN9++83GxP0VzTmu5MQDI+rPwivulKLgFHk4MeAB+XQ29UJq+jr47iJbcpIpovgDewKniDy7R04PAB5ATMw9NuvFW8+unO5UkC05AT/IumRIStsVgq4eQYs2mH9MPPZEJb5JTyhCb/7AcckJWDdC+pI20SyJ9Ryjog3ISW8DWoej0knW+MNTByckJ0s2evXqpQ0bNmjBggWe5CziwBGi3SPtwklbkk30F074zdgTtB0hZzp58mRPtRdxEPMmhISjTMeTfCUndicB+QsvvFArVqywTQU81V50Qe0m5KRtjr+7weSInJxAnz59rCifN2+eNYQ9FC2gLVHp7IeKl96qVSsb4/SHl+4iR7SHnDhGJPenTp1qi5A9FC2gLdkP9eeff7bJGVrREAsPCHJSoXTjjTfavXUIyhNO8GzPogO0JWYdW9ewQx3Nbv2NHJGTu4MFbxjA9C8nbYWK98hZdEBl2sSJE20xEPsp4Sj7G7myZllXRItowkrsAEHS30PhhmtrojHxN3CE2LHNn46Qi1z9AkUgbJNHLnXSpEm2TaInPQs3sDVR6bQ/JJyISkdqBhw5yQTQg5HMANvnUevpFYQUbuBbIDHxMwi6n3HGGRnv+B+5Iie2J9LzyiuvtK2hP/roI2uLeOV0hRPMK6sr2VeJvu833XRT1i1n/ISTks2U0rEclDTWuHHjbNbIQ+EC2hCfgh3pCLw/8MADqlGjht/y6FnhpMjJCSLiW7dubTeFImvkpTULFzDXKItD+FB51KVLF2tn+jOueTROmpykNG+77TZLyA8++MBzjgoRICbz+dVXX1ln6L777rMFQHlJTHBS5AScKLsnsLvEjBkzbAzMC8wXDlDlzqpKdmwjbY0Zlxfe+dE4pV/EOObkSWuyyRN5V2JiHgomECxITXao++KLL+xyXyrdmee8lprglMjJCePFYSzTloRYGPsYeSiYcNU5xKR+gjpef3TyyClOmZycOGnNu+66S1OmTLHxT8IPXnipYAGpiXfO/GGi9e7dWx06dPDb+qCc4JQNCbcohLVG7B3O3oikNr3wUsGBq84xy5566imbosTZ9WVTrpOBT6xc7izy7mxSypqS9957T9u3b7f2p+cgBT6YJ3pisa8npXDsMUQD4fySmC58Qk6A+Md7v+GGG+wd+PHHH1v7hTvSQ+AC8ws/gX6s7CHPvqfU7uZ1TDMr+IycgAuinIrwEoUhNJ7FUfIIGphAq0VGRto0NIsXcWwp7MjLLNDxEPKMQcZjn4A1zIQgICrSE2Ky0X1+GtYejgUSkz5Y+AgE2++++27bABb/Ib+886Phc3JCQJowsNYdQtIdmefsxe3vsn4POQcajT0skZpsG0hRB33dA4WYwKdqHUA+pCaeHg4SFUxsgzx+/Hi7rNRzkPIXSEwqyebOnWu3oWbZd9++fW06OpCICXxOThfYLQToBwwYYOOgb7zxho2Dkqv1CJp/cFOT7KnftGlTq85ZehModmZm+FytZwZSFBuG8ARlV+TguTt57vbX8dR83gCJSfSEtkJDhgyxkZWBAwfauQhEYgK/kxMyojKooGe/GlJjvO52w+WxR1D/wiXm6NGj9f7776tdu3Z25wvmINBUeWb4lZwuIB/GNuudyRzhJEVHR9vBYVUnNqoH/wATivglY45X3rNnT/Xv39/2+w9kYoI8IycDgYonrESVy8iRI23PTwiL8+RJUN8CUiIIaIRAvS3qHMenX79+djOKQFXlR8BcRJ4hLS3NSUlJcYy36IwaNcoxhrjTp08fZ9WqVU5CQkLGpzycKhhnQ0xn3bp1Tu/evR0jAJx3333X2b9/vx1/3i8IyHIHN3+DwDxhJbJI3NVUWZNVatu2re2/49qiHnIHppI8OSYTjS/Y7o9xxCPv1q2b3dm3QEjMDOQLOV1gqJM2I95G4QHBYGwiPEiPnLkH40mhMLYl2TnWeOGRn3vuuX7rPuxP5Cs5AXFPwkwspBo7dqyNvUFSPEokakG60/MDTB8HqchFixbpyy+/tP0EKF+kCMd1fAqi05nv5HSxb98+22d8+PDhNoNx7bXX6uqrr7aL+BlYz6M/Ei4pkZZUFZEjp7kvqpuGa1dddZV9XJA1UMCQE1sJ7xL1zuYIHFWqVLE5386dO1tPH4J66j4djBeV61StY7fTr5/1PlSw02yLCEhBv6EDhpwukAQ4S+R+KVqmgRQqatCgQbagGdupoKqpUwWOJOMDMbdt22a3G2dZRfXq1TV48GBrY3ITF0T7MisEHDk5HQ4mwc1qUDmDlGCdEg4TcTpipUWNoJg7qHCiHATVsdeJclBg445HYdIuAUfOzEBCMAE0LEV1UWGPZCAswjoX7FFXUhRGdY+kZAwobyP1u3DhQk2YMME6PzRTu+OOO2xa2E1iFDYENDkzA5JOmzbN2liEn6h4Qt1TeU+tKGnQwjRBTAt2JLvn0eoaacm+90QxcBbbtGlTaEnposCQk9OEoKh6OlEgRWjLx+tU2BDLg6TYXxQ5FzS7CynJgfnCmnGC6OxaQatrbGw0Bb1RSf9Sp0CIrbCbNQWGnEeDtt+oeaQK9YlkRYjpscsD0hS1504g0iXzkd9gyDMfkJIbj13RuB6WVrN6lVAQHjjLriElz4uSnR1kBsZxJ8zlaSBM4ImAw8SBk4A0XbdunVV9SFOkDxKUKnwmlq4VSFIO12nIT7hhM84TW3L69On2gJDcUOz5RGc32vxgvrjJiEC5ufIKQfHx8Y4rXejUgQrhDi1I4KZy435U4RAjJYWHekTF4zjRvYIDE4A1TW44yr12DvcxcF/LCVwJ6AJJ6L7G4aps90BCUnhNuIz++pw7RCQSwQ3F7mh434UlJHSyKLBq/WhkJoL7GBIgSXGgSOnh5SKBCFJjo7JKlCUKFJvgULkHxIXUkDgnBEUlc2MA/sdxYTkEjzE3kI78PuezcuVK+50UYPP7ODbcNJyTu0I18w1TlFFoyJkVUJ3uQXyQkBR2KoF9SAOB0BaQE0lFtxL210GN0vGC54Ahgih4xxCWv+NwCQTp2UmXx/xPnerevXstafl+/g5thEQk9EMNK5LSTSpwcEMUdTIejUJNzuzAJSPJIBJNBcjrY+9BMkiMswX53M/yHKIh7Yir8jnsXB5DbACxICCeNKSDiKRfecyBDcz/3AQecoYiSU6AM4UJ4P7PAQEhIkFvHgOGh3gj0he40o3PI2GRii4wCSAsTgwq2rVpMx+edMw5iiw5PQQ+il71hIcCA4+cHgIWHjk9BCw8cnoIWHjk9BCw8MjpIWDhkdNDwMIjp4cAhfT/jPaEsHwB+AAAAAAASUVORK5CYII=)
physics-General
physics-
Two forces, each numerically equal to 5 N, are acting as shown in the figure. Then the resultant is-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM4AAAC5CAYAAABgOAC9AAAa8klEQVR4nO3deVxUZdsH8N8wgAjKIm6oaGguIWC5JQU+uSbig6k8mVgqCCpoLikZj/oo+oSJqUOYoBKaMopSpLkRFkoaiVuCuwaosSiIIsvArNf7x/u+Jq4wDpxhuL6fD//M3Pc51wF+c99nmXNERERgjNWKkdAFMNYQcXAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHD0nEqlQmFhIRQKhdClsEdwcPRYfn4+Zs6ciU2bNkGlUgldDnsEB0cPqdVqbN++HYMGDcKmTZtQWVkJU1NToctijzAWugD2N7VajfPnzyM4OBipqalQKpUAgNatW8PYmP9U+oT/Gnri3r17+PLLL7F27VrI5fJq77Vt21agqtiz8FRNT2RnZyMzMxMikaja66amprC0tBSoKvYsHBw90bdvX3z33XcIDAysFh4rKytYWFgIWBl7Gg6OHjEzM8Pt27dhYmICV1dXWFpaonnz5hwcPcT7OHokKioKiYmJePXVVxEfH4/MzEykpqZycPSQiG/WoR8uXboEb29vXL58GQcPHoSHhwc0Gg2qqqpgYmICExMToUtkj+ARRw+o1WqsW7cOly9fhr+/P4YPHw4AMDIygrm5ucDVsafhEUcPxMfHIyAgALa2tkhLS0O7du2ELom9AI84AsvJyUFkZCTKy8sRExPDoWkg+KiagJRKJWJiYpCWlobJkydjxIgRQpfEaoinagJKTU3FsGHD4ODggJ07d6J3795Cl8RqiEccgZSWlmLhwoXQaDSYMWMGh6aB4eAIJDIyEunp6Rg6dCimTZsmdDmslniqJoCTJ09i8ODBMDc3x86dOzFkyBChS2K1xCNOPZPL5QgJCUFFRQWmTJnCoWmgODj1bN26dTh27Bj69euHRYsWCV0O0xIHpx6lp6dj8+bNICKsWrUKVlZWQpfEtMTBqScVFRWIjIxEdnY2FixYgIEDBwpdEnsJHJx6snv3bsTHx6NPnz6YNWsWxGKx0CWxl8DBqQdXr15FREQE1Go1lixZgvbt2wtdEntJHJw6VlVVhejoaGRkZGDWrFkPr3xmDRufx6ljycnJePfdd+Hi4oK4uDg4OzsLXRLTAR5x6lBRUREWLFgAMzMzBAYGcmgMCAenDoWHh+P8+fPw8PCAn5+f0OUwHeKpWh1JSkrCuHHjYGVlhaSkJLi4uAhdEtMhHnHqQGlpKUJDQyGTyTB37lwOjQHi4NSBL774Aunp6XB3d8f8+fOFLofVAQ6OjqWmpkIqlcLc3BxfffUVn+g0UHzPAR0qKSmBRCLBrVu3sHLlSj6KZsB4xNGhuLg47NmzB4MHD4afnx+PNgaMj6rpSGZmJkaPHo179+4hISGBrxAwcDzi6EBFRQXWrFmDGzduIDAwEEOHDhW6JFbHODg6sH//fmzbtg39+vXD1KlTYWTEv1ZDx1O1l3Tnzh306dMHpaWlWL9+PSZNmiR0Sawe8EfjSwoJCUFeXh68vLw4NI0IjzgvYe/evZgwYQLatm2LQ4cOoXv37kKXxOoJjzhays3NxfLly1FZWYmQkBAOTSPDwdHS2rVrcfbsWYwdOxZTpkwRuhxWz3iqpoUDBw7A19cXGo0Gv/76KxwdHYUuidUzvuSmlgoKCrB+/XoUFRVh48aNHJpGiqdqtRQfH4+kpCSMGTMG48aNE7ocJhCeqtXCqVOn4OnpCSJCYmIi3N3dhS6JCYRHnBoqLy/H559/jqKiIsyaNYtD08hxcGpIKpVi7969GDhwIAICAoQuhwmMp2o1kJWVhQEDBoCIsHnzZowZM0bokpjAeMSpgfnz5+Pu3bv417/+xaFhAHjEeaEtW7YgKCgI9vb2SEtLQ8uWLYUuiekBvTmPo1GUo+DPv1BqJIIIAKmMYPOKA9o0M4Ho8cayQlz4Mw9KjRjGxuZoYdsW7e2aVW9DapTdycGVvHKYNzGBRiWH0tIevV5pBXENx9ns7GyEh4ejqqoKK1eu5NCwv5FeUFHWkc+oM0B4+ONEq44VkOZpza/uovf/OZScHVqSGKbUddhSOlH6WEt1GZ2TfkZOPbtQc3MxtenUk95aspfK5E9d4hOUSiUFBAQQAPL19SWVSvXSW8kMh15M1aiyCLsCPbFB7I7+lmqo1Eoo2w7G/Fle6Gxp8sx+FVeTETZvHMIOGaP/TAm2h09GN/PHGuUewviwBAx4fynmvdOpxjUlJCTA398ftra2+OWXX+Dg4KDl1jFDpBdTtdKsfUiwDkKyZArMatHPolNvDBzggs0X/8Kp6E/xn84dED17CKwf3SqTprBs3R0tm9f86Wc5OTmIiIh4+OU0Dg17nB4cVbuH5DVhOJgUg+mSKKQUqaGpaVe1ClUWnTBl3gp8/JYauxYuwpb0vOr9iQC1EqCaLVWlUiEuLg6//fYbPvzwQ3h5edVye1hjIHxwbh/Ftz/moerqb9i+4GOMemcIZuw+h+KaTCCJoFYDTftMRPBCP/SySscCz8U4eLdS63JOnz6Nzz//HA4ODggKCuLndLKnEj44bf6JXTeLcf7s7/h6uifaXU7F5vEeWBBzEmU16U8aKGRV6OC5ApIFXmgr2wrvseHIkNV+162srAyLFy+GXC5HYGAgXF1da70M1jgIHxyRCSyamcPpjQEI/HovjqSsh1fH29i66Ev8nFVaw4VoADTBO599jZXvDQCOhWLk7K0o1gBPHst+tk2bNuGXX37BsGHDMHXqVC02hjUWwgfnMfbvzMT61QvgWHECx6+VQl2r3h0waft6LBnqgPxtczFp9WFAZFqj8zYZGRkIDQ1Fq1atEBwcjBYtWmi5Bawx0LvgAID9iHfh/GpHGKlUte/cpA8Wxq7HBBcVDq76BEtjzqHc2Bzi54w8VVVV+Oyzz1BeXg4/Pz8MGzZM++JZo6CXwYGiCjLb7ujR3hza3H3Z2H4EIiOX4035BUSuDsH3v+ehaZNnH3mPiopCSkoKXFxcsHDhQu3rZo2GXgbndmoGWg71wjtdWz+/oQgwEhnBSPT4cCKCresMrIucihYlZajKK4b4GfO1M2fOICoqCgqFAhEREbCxsdHNRjCDJnBwynBK4g4X73n4NUsBQhXyjm7EN9lmCJw6HF2aP6erRg1ZxRVk/H4UJ9NOowKPn6qxgOtHoVg52w0or4T6KQfZ5HI5IiMjcf36dQQHB8PNzU23m8cMl9DX/OT+vore69KJOnToQI7936HQnaepoOLF/W7ET6euXTqSfYf2ZN+2NdkOn037Lpc92fD2Mfpk5Tr6LuP+E29t27aNjIyMyNHRkfLz83WwNayx0Itr1YRw/fp1vP/++zh37hwSExP5ezasVvRyH6euyeVybNy4EefOncO0adP4KBqrtUY54iQnJ+Pdd9+Fk5MTpFIpPxWa1VqjG3Hu37+P4OBgNGnSBDNmzODQMK00uuCEh4cjMzMTHh4emDZtmtDlsAaqUU3VUlNT4eHhASsrK+zfvx99+vQRuiTWQDWaEae8vBwLFy5EZWUl5syZw6FhL6XRBGft2rU4c+YMBg4ciNmzZwtdDmvgGkVw0tLSsHXrVhgbG2P16tUwN3/8xgSM1Y5e3HOgLpWUlEAikSAnJwdhYWHo27ev0CUxA2DwI87u3buRkJAANzc3+Pn58aPUmU4Y9FG1K1euYNSoUcjNzcWePXswYsQIoUtiBsJgP35lMhnWrVuHrKwsBAUFYciQIUKXxAyIwQYnOTkZmzZtQp8+fTB9+nSYmDz7xoaM1ZZBBqegoACffvopLCwsMHPmTH6UOtM5gwzOihUrcP36dYwaNYofpc7qhMEdHPjhhx8wceJE2NjYICUlhUcbVicM6jxOYWEhwsLCUFlZiYiICA4NqzMGNVULDw/H6dOn4enpCV9fX6HLYQbMYKZqhw4dgq+vLxQKBY4fPw5HR0ehS2IGzCCmakVFRdiwYQPu3LkDiUSCHj16CF0SM3AGMVWLi4vD/v374enpCR8fH76shtW5Bj9VO3PmDLy8vCCXy5GQkIBBgwYJXRJrBBr0R3N5eTnCwsKQn5+PWbNmcWhYvWnQwfnhhx+QmJgINzc3+Pv7C10Oa0Qa7FStoKAALi4uICJs2rQJY8eOFbok1og02BFnzpw5uHv3Lt577z0ODat3DXLE2bFjB/z9/WFnZ4fjx4/Dzs5O6JJYI9PgRpzs7GysWrUKlZWVCAsL49AwQTSo4BARJBIJMjMz4ePjA29vb6FLYo1Ug5qq7d27F1OmTIGVlRUOHz6Mrl27Cl0Sa6QazCU3t27dQkRExMO71nBomJAaxFRNrVZj+/btOHLkCCZMmAAvLy+hS2KNXIOYqp04cQLDhw+HpaUldu/ejbfeekvoklgjp/cjTnl5OZYuXYqysjIEBQVxaJhe0PvgxMTEIDk5GYMHD0ZAQIDQ5TAGQM+nahcvXoS7uzvEYjG2b9/ONxRkekNvRxwiwvz581FSUoIpU6ZwaJhe0dvgSCQSHDlyBE5OTli0aJHQ5TBWjV4G5/z584iOjoZCocCXX34Ja2troUtirBq9C45KpUJERASuXbuGjz/+mO/5zPSS3h0ciI+Ph5+fHzp27IjDhw/D3t5e6JIYe4JejTjZ2dmQSCSorKzEihUrODRMb+lNcBQKBWJjY5Geno6AgACMHDlS6JIYeya9maqlpqZi0KBBcHR0RFxcHF5//XWhS2LsmfRixCkpKcGCBQsgFosREBDAoWF6Ty++VhAREYHTp09j1KhRCAwMrPsVEkEuu4/ikgeo0ligdRtbNDMVP3xbpXiAu3eKIRM1Q6s2tmhuIn60MxSyYhTdLYNS1By2drZobiyq+5qZfiGBHTt2jMzNzaldu3Z09OjRul+hppjOJm2kjye4U8832pOD21zae6n44duK4rO044tRNGjAq/Tq28NpnOQHuvxA9fB9dcEJ2hbyDrn270Idm3cijxXfUl5F3ZfN9IugwSkvL6c333yTAFDbtm0pLCyMdu3aRSkpKXT58mVSKpU6XuE1Sgr/F9mYOJJXQDSduHafSPPI+5U3aNt4F+o8ci5dqCKislPk696O+k/dR4VqIqIiSvzPezRyYihdI6Kin3ypp7UZvbetQLd1Mr0naHDCwsLI1NSUevXqRd7e3uTk5ETt27cnW1tb6tq1K/n6+pJUKqWbN2/qYG0F9OP8QWTdtCtNT7xKZU9p8dfPc6hTyx40/2f5w9fK9vhRe5tutOx0KVHBCZrb255Gh6RQORER5dAKl9Zk/2EcVeqgQtZwCLaP8/vvvyMmJgZqtRpRUVFwdnZGYWEh7t27h7y8PJw6dQoHDhyAVCqFk5MTBg0aBG9vb/Tr1w9isfjFK3jM9bhl+GRjBoYs2Ycvx3RDsydaFOPw11KUWr+FQb1MH77arO9wdG7yPeL2XcHSj01haqZEqawIMgAWeAXO7iYwqjLVj51FVn+ESGtJSQmNHz+eAFBoaCipVKon2iiVSsrLy6OkpCT66KOPyMrKiqytrSkgIIByc3Nrt8LiVPJ9y44wYDHdqHhyXf8rjaZbNqGW3abQ4dJHXi7aQ++1sSSb10Iph+7SvpAh1MRxFMVeLyGq+JWm9nSlpWn3a1cPa/AECU5sbCwBoP79+1NeXt4L28vlcrp16xYtWbKEbG1tqUOHDhQTE0MKhaJG68uImU7djECD126kDf+ZSA4dO1Drzk707so9dLXq/xrd2kbuxk2pg8syOl+t90ma196WrFvPpnQiorKLFL98CDl2bkHtB/nQ8p9zSf74CpnBq/fgXLp0iXr06EFisZj2799f6/7nz58nT09Patq0Kf3jH/+gc+fOvaBHESXOG0k2ALn991u6LFeRUlZCB1YFUSeYUbdJO+hiKRHdjCVXcVOy77WCLlXrf5Lmtrcl69Zz/jc4REQaNSkVcpIrlNWOLbDGo15PgFZWVmLDhg24cuUKgoKCMHjw4Fovw8nJCfv27UN0dDTy8/Ph6emJ5OTkZ3fQlKCgKA/3W/ng3xPHoIepGMZNrTBy/qdYMtcF17ZtwNGLdwCrZjAXASAjVDsrczcfN1RKwMIMD/d8REYwNjGFqYkx+AxO41SvwUlJScH69evxxhtvYMaMGWjatKlWyxGJRJg0aRJ++ukn9OzZEx9++CGkUinUavWTjY1M0bRpE4iggfrR/3Jxe/R26gMH5OOvB2VQWXWHk40R1OoyyB7tLytHIRFM+r2GblpVywxRvQWnqKgI8+fPh4WFBWbOnKmTh9s6ODhgx44dGDp0KGbNmoWoqCgoFIrHWnWEs1M3tK+8hwcy1SOvG8OypSWa2TSHlakpjNEd7p42qJCdRE7e360Uf17GDaUCzgPdYP7SFTNDUW/BCQ0NxdWrV+Hp6YnJkyfrbLm2traIjo6Gj48PFi1ahNjYWGg0mmpt+g51Q/c2p/Ht4auofHhJaymyL11DWed+6P1KWwBN8I/ZM2B/7yaSThU/7Hsr6yQ0KmdMGdtRZzUzA1AfO1L79+9/eFnNxYsX62QdcrmcJk2aRNbW1nT8+PHH3tXQz2FTqHWrIbQ4+U8iUtO9w6von849yX/TSfr/A2ukuEuHPnGnNgPHU9oDIjq/hTxee41GLD9HpXwUgD2izoPz4MED6tevHwGgyMjIOl1XcXExDRgwgLp27Up//fVX9Tc1KroUs4xGdrSn9nad6fX+Uyk6JZNKHluGqiKbvv1sGDlatyTbN4bQ599doNJnnfphjVadByckJIQA0PDhw0kur/szHmfOnCE7OzsaOXLk069102hIrVaTRvP8IUSjVpP6BW1Y41Wn+zhHjx6FVCpF8+bNsWbNGpiamr6400vq3bs3JBIJjh07hujo6CcbiEQwMjKCSPT8A8kiIyMYvaANa7zqLDjFxcWQSCS4desWVqxYoZOjaDU1duxYDBs2DLGxsSgpKam39bLGo86Cs2vXLuzduxceHh7w8fGBkVH9nTIyNjbGwoULkZ2djW3bttXbelnjUSf3HMjMzMSIESNQVVWFhIQEQe6NJpPJMH36dGRlZeH777/nZ4UyndL5MCCTyRAeHo6CggIEBQUJdkNBc3NzTJ8+HRcvXsTBgwcFqYEZLp0HZ8+ePZBKpXB1dYW/v7+uF18rnTt3Rs+ePZGenv70y3EY05JOg5Obm4uFCxfC2toas2fPxiuvvKLLxddamzZt0L9/f5w7dw55eXkv7sBYDek0OIsXL0Zubi7Gjh2LDz74QJeL1opYLEavXr1w8+ZN3L59W+hymAHRWXCkUil2794NBwcHLFmyRFeLfWndu3eHsbExcnJyhC6FGRCdBOfGjRtYvXo1KisrsXz5csGnaI9q164d2rZti7Nnz0KlUr24A2M1oJPgrFmzBhkZGRg/frxeTNEeZWJigiZNmqCwsPApXzlgTDsvHZwff/wRUqkUdnZ2WL58OYyN9et+L/9/mupFl9gwVhsv9V+en5+Pr7/+Gvfv30dMTAy6ddO/70haWlrCysrqie/oMPYytB5xNBoNdu7cieTkZHh7e2PMmDEAgDt37uDChQs6K/BliUQiiEQi1MEFEqwR03rE+eOPPxAWFoaOHTsiODgYYrEYiYmJ2LhxI8rKypCWlqbLOrWmVquhUqlgamrK0zWmM1qNODKZDEuXLkVZWRl8fHxw/fp1TJ48GR988MHz7zgjgPv376OwsBDOzs5a3xyEscdpdZHn5s2bMW3aNLRu3RqdO3fG1atXcf/+/Yfvt2zZEiNGjIBSqdRpsbUlFotx9+5dHDt2DM7OzujSpQvv6zDEx8e//EK0+fabj48PmZmZUadOnQgA//BPg/rRBa1GnHv37qGgoAAtWrSAVCqFRCKpdi1Yjx498NVXX0Emkz1nKXXPxMQEFy5cwIULFzB06FDY2NjwiMMwevTol16GTr6PU1RUhA0bNmDLli24efMmXF1d9ebgAAAQER8YYDql0y+y5eXlQSKRoKioCFu3btXVYhnTOzr/BqhGo0F5eTksLS11uVjG9IrePK6dPY0SWT99h50//oa7Zk1gpCGYNXfE+8H+eL35423VuP3rZgTHnkQzCzOI6DVMmO0D9x621ZuVXcXWjTFIuVSBls2NUKoQ4RWvT7DYw6G+Nsog6NeFZay6BxnYGrsE/92d9X8viNDK+VP4LH1aYxEsOvTC4AFypO/ZiB0/RWFvQSWSt8xDT2uTv5uZWMOp3xBc/zMUkXsqMGlmCPp14tlBbfGIo8duJMUg5qcc9Pf1Rw9jGRQkgql1B3Rtb/ncx4tUZmzHR74B+P4PNTp+LMWlte/D4vGPyFMr0eVbO5xeOwk2pvX60AqDwCOOvir/E0kZF3Cvz1R4udRuGmVq3AQ9hg7HgHuZyIiciPGdu2Lf3Deqh01kDJGpBUz4CT9a4Y8aPXXn2jHsXR6BqMC38ca8lZBezseDGk4ONKoqyGyGQPLNKrh1t8ChkEB89fuDx1oRQHxOS1scHL2khFKmgHW/oXizawfc2rgIH7p5YmZkKu7U6H9dBKiqIO8xHt/81wtdNelYNnEOvvtL2BPShoSDo5dM0MFtOnYcPYzkA3uwNfzf8Giag/i57yN4+xXU9EZXGhXB3jsWm1d5wTRnB+ZNW4WUQt6l1QUOjh4TAbC064Z/zvovvklYC+8u5TgQFoH0ytosxRjuQVH4atqbyE0Kx6LQb5BVBcCI921eBgengbBz9cPq4NHQlOeioKyWnU3bYfyqSKwe1xEnNsxGSPQRlKvMYczZ0RoHpwFp9fbbcDIy0W6wsH4dQV+sg99bRkiY9wlWJ/6BChEfU9MWB6cBUWRl4bbbaLi1enFb0VOeDmH+qgeCF8xGP5tzWL7qGxQUlkPMUzatcHD0EKlLkX/9DK7e+fsQcmXBdfx4qhJz50/Ei3IjIiWqysqgUj5+CE6EHmM+wxdzfNABgFqjAQ852uEToPpInoPdS9zxxZVRmOPvie7dbSG+fAZVXv9GYN/n/MmUMvx5Zh++27kDSXF/4q6iKW6O8cakt7vC5OFHpCUGLw1DWG4OPi5RQqMBIK6HbTIw4mXLli0TughWncjEFm3tu8Gy7D5u3s5Bqaol+oyfBs/uLZ8/RVBV4Opv+5ByswX6uvZCs6pC5Jp0wbDXO8K4Wkdr9HLrCdM2XTDg1VY8XdMCX6vGmBZ4H4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNPC/wD09O0jh845iQAAAABJRU5ErkJggg==)
Two forces, each numerically equal to 5 N, are acting as shown in the figure. Then the resultant is-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM4AAAC5CAYAAABgOAC9AAAa8klEQVR4nO3deVxUZdsH8N8wgAjKIm6oaGguIWC5JQU+uSbig6k8mVgqCCpoLikZj/oo+oSJqUOYoBKaMopSpLkRFkoaiVuCuwaosSiIIsvArNf7x/u+Jq4wDpxhuL6fD//M3Pc51wF+c99nmXNERERgjNWKkdAFMNYQcXAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHAY0wIHhzEtcHD0nEqlQmFhIRQKhdClsEdwcPRYfn4+Zs6ciU2bNkGlUgldDnsEB0cPqdVqbN++HYMGDcKmTZtQWVkJU1NToctijzAWugD2N7VajfPnzyM4OBipqalQKpUAgNatW8PYmP9U+oT/Gnri3r17+PLLL7F27VrI5fJq77Vt21agqtiz8FRNT2RnZyMzMxMikaja66amprC0tBSoKvYsHBw90bdvX3z33XcIDAysFh4rKytYWFgIWBl7Gg6OHjEzM8Pt27dhYmICV1dXWFpaonnz5hwcPcT7OHokKioKiYmJePXVVxEfH4/MzEykpqZycPSQiG/WoR8uXboEb29vXL58GQcPHoSHhwc0Gg2qqqpgYmICExMToUtkj+ARRw+o1WqsW7cOly9fhr+/P4YPHw4AMDIygrm5ucDVsafhEUcPxMfHIyAgALa2tkhLS0O7du2ELom9AI84AsvJyUFkZCTKy8sRExPDoWkg+KiagJRKJWJiYpCWlobJkydjxIgRQpfEaoinagJKTU3FsGHD4ODggJ07d6J3795Cl8RqiEccgZSWlmLhwoXQaDSYMWMGh6aB4eAIJDIyEunp6Rg6dCimTZsmdDmslniqJoCTJ09i8ODBMDc3x86dOzFkyBChS2K1xCNOPZPL5QgJCUFFRQWmTJnCoWmgODj1bN26dTh27Bj69euHRYsWCV0O0xIHpx6lp6dj8+bNICKsWrUKVlZWQpfEtMTBqScVFRWIjIxEdnY2FixYgIEDBwpdEnsJHJx6snv3bsTHx6NPnz6YNWsWxGKx0CWxl8DBqQdXr15FREQE1Go1lixZgvbt2wtdEntJHJw6VlVVhejoaGRkZGDWrFkPr3xmDRufx6ljycnJePfdd+Hi4oK4uDg4OzsLXRLTAR5x6lBRUREWLFgAMzMzBAYGcmgMCAenDoWHh+P8+fPw8PCAn5+f0OUwHeKpWh1JSkrCuHHjYGVlhaSkJLi4uAhdEtMhHnHqQGlpKUJDQyGTyTB37lwOjQHi4NSBL774Aunp6XB3d8f8+fOFLofVAQ6OjqWmpkIqlcLc3BxfffUVn+g0UHzPAR0qKSmBRCLBrVu3sHLlSj6KZsB4xNGhuLg47NmzB4MHD4afnx+PNgaMj6rpSGZmJkaPHo179+4hISGBrxAwcDzi6EBFRQXWrFmDGzduIDAwEEOHDhW6JFbHODg6sH//fmzbtg39+vXD1KlTYWTEv1ZDx1O1l3Tnzh306dMHpaWlWL9+PSZNmiR0Sawe8EfjSwoJCUFeXh68vLw4NI0IjzgvYe/evZgwYQLatm2LQ4cOoXv37kKXxOoJjzhays3NxfLly1FZWYmQkBAOTSPDwdHS2rVrcfbsWYwdOxZTpkwRuhxWz3iqpoUDBw7A19cXGo0Gv/76KxwdHYUuidUzvuSmlgoKCrB+/XoUFRVh48aNHJpGiqdqtRQfH4+kpCSMGTMG48aNE7ocJhCeqtXCqVOn4OnpCSJCYmIi3N3dhS6JCYRHnBoqLy/H559/jqKiIsyaNYtD08hxcGpIKpVi7969GDhwIAICAoQuhwmMp2o1kJWVhQEDBoCIsHnzZowZM0bokpjAeMSpgfnz5+Pu3bv417/+xaFhAHjEeaEtW7YgKCgI9vb2SEtLQ8uWLYUuiekBvTmPo1GUo+DPv1BqJIIIAKmMYPOKA9o0M4Ho8cayQlz4Mw9KjRjGxuZoYdsW7e2aVW9DapTdycGVvHKYNzGBRiWH0tIevV5pBXENx9ns7GyEh4ejqqoKK1eu5NCwv5FeUFHWkc+oM0B4+ONEq44VkOZpza/uovf/OZScHVqSGKbUddhSOlH6WEt1GZ2TfkZOPbtQc3MxtenUk95aspfK5E9d4hOUSiUFBAQQAPL19SWVSvXSW8kMh15M1aiyCLsCPbFB7I7+lmqo1Eoo2w7G/Fle6Gxp8sx+FVeTETZvHMIOGaP/TAm2h09GN/PHGuUewviwBAx4fynmvdOpxjUlJCTA398ftra2+OWXX+Dg4KDl1jFDpBdTtdKsfUiwDkKyZArMatHPolNvDBzggs0X/8Kp6E/xn84dED17CKwf3SqTprBs3R0tm9f86Wc5OTmIiIh4+OU0Dg17nB4cVbuH5DVhOJgUg+mSKKQUqaGpaVe1ClUWnTBl3gp8/JYauxYuwpb0vOr9iQC1EqCaLVWlUiEuLg6//fYbPvzwQ3h5edVye1hjIHxwbh/Ftz/moerqb9i+4GOMemcIZuw+h+KaTCCJoFYDTftMRPBCP/SySscCz8U4eLdS63JOnz6Nzz//HA4ODggKCuLndLKnEj44bf6JXTeLcf7s7/h6uifaXU7F5vEeWBBzEmU16U8aKGRV6OC5ApIFXmgr2wrvseHIkNV+162srAyLFy+GXC5HYGAgXF1da70M1jgIHxyRCSyamcPpjQEI/HovjqSsh1fH29i66Ev8nFVaw4VoADTBO599jZXvDQCOhWLk7K0o1gBPHst+tk2bNuGXX37BsGHDMHXqVC02hjUWwgfnMfbvzMT61QvgWHECx6+VQl2r3h0waft6LBnqgPxtczFp9WFAZFqj8zYZGRkIDQ1Fq1atEBwcjBYtWmi5Bawx0LvgAID9iHfh/GpHGKlUte/cpA8Wxq7HBBcVDq76BEtjzqHc2Bzi54w8VVVV+Oyzz1BeXg4/Pz8MGzZM++JZo6CXwYGiCjLb7ujR3hza3H3Z2H4EIiOX4035BUSuDsH3v+ehaZNnH3mPiopCSkoKXFxcsHDhQu3rZo2GXgbndmoGWg71wjtdWz+/oQgwEhnBSPT4cCKCresMrIucihYlZajKK4b4GfO1M2fOICoqCgqFAhEREbCxsdHNRjCDJnBwynBK4g4X73n4NUsBQhXyjm7EN9lmCJw6HF2aP6erRg1ZxRVk/H4UJ9NOowKPn6qxgOtHoVg52w0or4T6KQfZ5HI5IiMjcf36dQQHB8PNzU23m8cMl9DX/OT+vore69KJOnToQI7936HQnaepoOLF/W7ET6euXTqSfYf2ZN+2NdkOn037Lpc92fD2Mfpk5Tr6LuP+E29t27aNjIyMyNHRkfLz83WwNayx0Itr1YRw/fp1vP/++zh37hwSExP5ezasVvRyH6euyeVybNy4EefOncO0adP4KBqrtUY54iQnJ+Pdd9+Fk5MTpFIpPxWa1VqjG3Hu37+P4OBgNGnSBDNmzODQMK00uuCEh4cjMzMTHh4emDZtmtDlsAaqUU3VUlNT4eHhASsrK+zfvx99+vQRuiTWQDWaEae8vBwLFy5EZWUl5syZw6FhL6XRBGft2rU4c+YMBg4ciNmzZwtdDmvgGkVw0tLSsHXrVhgbG2P16tUwN3/8xgSM1Y5e3HOgLpWUlEAikSAnJwdhYWHo27ev0CUxA2DwI87u3buRkJAANzc3+Pn58aPUmU4Y9FG1K1euYNSoUcjNzcWePXswYsQIoUtiBsJgP35lMhnWrVuHrKwsBAUFYciQIUKXxAyIwQYnOTkZmzZtQp8+fTB9+nSYmDz7xoaM1ZZBBqegoACffvopLCwsMHPmTH6UOtM5gwzOihUrcP36dYwaNYofpc7qhMEdHPjhhx8wceJE2NjYICUlhUcbVicM6jxOYWEhwsLCUFlZiYiICA4NqzMGNVULDw/H6dOn4enpCV9fX6HLYQbMYKZqhw4dgq+vLxQKBY4fPw5HR0ehS2IGzCCmakVFRdiwYQPu3LkDiUSCHj16CF0SM3AGMVWLi4vD/v374enpCR8fH76shtW5Bj9VO3PmDLy8vCCXy5GQkIBBgwYJXRJrBBr0R3N5eTnCwsKQn5+PWbNmcWhYvWnQwfnhhx+QmJgINzc3+Pv7C10Oa0Qa7FStoKAALi4uICJs2rQJY8eOFbok1og02BFnzpw5uHv3Lt577z0ODat3DXLE2bFjB/z9/WFnZ4fjx4/Dzs5O6JJYI9PgRpzs7GysWrUKlZWVCAsL49AwQTSo4BARJBIJMjMz4ePjA29vb6FLYo1Ug5qq7d27F1OmTIGVlRUOHz6Mrl27Cl0Sa6QazCU3t27dQkRExMO71nBomJAaxFRNrVZj+/btOHLkCCZMmAAvLy+hS2KNXIOYqp04cQLDhw+HpaUldu/ejbfeekvoklgjp/cjTnl5OZYuXYqysjIEBQVxaJhe0PvgxMTEIDk5GYMHD0ZAQIDQ5TAGQM+nahcvXoS7uzvEYjG2b9/ONxRkekNvRxwiwvz581FSUoIpU6ZwaJhe0dvgSCQSHDlyBE5OTli0aJHQ5TBWjV4G5/z584iOjoZCocCXX34Ja2troUtirBq9C45KpUJERASuXbuGjz/+mO/5zPSS3h0ciI+Ph5+fHzp27IjDhw/D3t5e6JIYe4JejTjZ2dmQSCSorKzEihUrODRMb+lNcBQKBWJjY5Geno6AgACMHDlS6JIYeya9maqlpqZi0KBBcHR0RFxcHF5//XWhS2LsmfRixCkpKcGCBQsgFosREBDAoWF6Ty++VhAREYHTp09j1KhRCAwMrPsVEkEuu4/ikgeo0ligdRtbNDMVP3xbpXiAu3eKIRM1Q6s2tmhuIn60MxSyYhTdLYNS1By2drZobiyq+5qZfiGBHTt2jMzNzaldu3Z09OjRul+hppjOJm2kjye4U8832pOD21zae6n44duK4rO044tRNGjAq/Tq28NpnOQHuvxA9fB9dcEJ2hbyDrn270Idm3cijxXfUl5F3ZfN9IugwSkvL6c333yTAFDbtm0pLCyMdu3aRSkpKXT58mVSKpU6XuE1Sgr/F9mYOJJXQDSduHafSPPI+5U3aNt4F+o8ci5dqCKislPk696O+k/dR4VqIqIiSvzPezRyYihdI6Kin3ypp7UZvbetQLd1Mr0naHDCwsLI1NSUevXqRd7e3uTk5ETt27cnW1tb6tq1K/n6+pJUKqWbN2/qYG0F9OP8QWTdtCtNT7xKZU9p8dfPc6hTyx40/2f5w9fK9vhRe5tutOx0KVHBCZrb255Gh6RQORER5dAKl9Zk/2EcVeqgQtZwCLaP8/vvvyMmJgZqtRpRUVFwdnZGYWEh7t27h7y8PJw6dQoHDhyAVCqFk5MTBg0aBG9vb/Tr1w9isfjFK3jM9bhl+GRjBoYs2Ycvx3RDsydaFOPw11KUWr+FQb1MH77arO9wdG7yPeL2XcHSj01haqZEqawIMgAWeAXO7iYwqjLVj51FVn+ESGtJSQmNHz+eAFBoaCipVKon2iiVSsrLy6OkpCT66KOPyMrKiqytrSkgIIByc3Nrt8LiVPJ9y44wYDHdqHhyXf8rjaZbNqGW3abQ4dJHXi7aQ++1sSSb10Iph+7SvpAh1MRxFMVeLyGq+JWm9nSlpWn3a1cPa/AECU5sbCwBoP79+1NeXt4L28vlcrp16xYtWbKEbG1tqUOHDhQTE0MKhaJG68uImU7djECD126kDf+ZSA4dO1Drzk707so9dLXq/xrd2kbuxk2pg8syOl+t90ma196WrFvPpnQiorKLFL98CDl2bkHtB/nQ8p9zSf74CpnBq/fgXLp0iXr06EFisZj2799f6/7nz58nT09Patq0Kf3jH/+gc+fOvaBHESXOG0k2ALn991u6LFeRUlZCB1YFUSeYUbdJO+hiKRHdjCVXcVOy77WCLlXrf5Lmtrcl69Zz/jc4REQaNSkVcpIrlNWOLbDGo15PgFZWVmLDhg24cuUKgoKCMHjw4Fovw8nJCfv27UN0dDTy8/Ph6emJ5OTkZ3fQlKCgKA/3W/ng3xPHoIepGMZNrTBy/qdYMtcF17ZtwNGLdwCrZjAXASAjVDsrczcfN1RKwMIMD/d8REYwNjGFqYkx+AxO41SvwUlJScH69evxxhtvYMaMGWjatKlWyxGJRJg0aRJ++ukn9OzZEx9++CGkUinUavWTjY1M0bRpE4iggfrR/3Jxe/R26gMH5OOvB2VQWXWHk40R1OoyyB7tLytHIRFM+r2GblpVywxRvQWnqKgI8+fPh4WFBWbOnKmTh9s6ODhgx44dGDp0KGbNmoWoqCgoFIrHWnWEs1M3tK+8hwcy1SOvG8OypSWa2TSHlakpjNEd7p42qJCdRE7e360Uf17GDaUCzgPdYP7SFTNDUW/BCQ0NxdWrV+Hp6YnJkyfrbLm2traIjo6Gj48PFi1ahNjYWGg0mmpt+g51Q/c2p/Ht4auofHhJaymyL11DWed+6P1KWwBN8I/ZM2B/7yaSThU/7Hsr6yQ0KmdMGdtRZzUzA1AfO1L79+9/eFnNxYsX62QdcrmcJk2aRNbW1nT8+PHH3tXQz2FTqHWrIbQ4+U8iUtO9w6von849yX/TSfr/A2ukuEuHPnGnNgPHU9oDIjq/hTxee41GLD9HpXwUgD2izoPz4MED6tevHwGgyMjIOl1XcXExDRgwgLp27Up//fVX9Tc1KroUs4xGdrSn9nad6fX+Uyk6JZNKHluGqiKbvv1sGDlatyTbN4bQ599doNJnnfphjVadByckJIQA0PDhw0kur/szHmfOnCE7OzsaOXLk069102hIrVaTRvP8IUSjVpP6BW1Y41Wn+zhHjx6FVCpF8+bNsWbNGpiamr6400vq3bs3JBIJjh07hujo6CcbiEQwMjKCSPT8A8kiIyMYvaANa7zqLDjFxcWQSCS4desWVqxYoZOjaDU1duxYDBs2DLGxsSgpKam39bLGo86Cs2vXLuzduxceHh7w8fGBkVH9nTIyNjbGwoULkZ2djW3bttXbelnjUSf3HMjMzMSIESNQVVWFhIQEQe6NJpPJMH36dGRlZeH777/nZ4UyndL5MCCTyRAeHo6CggIEBQUJdkNBc3NzTJ8+HRcvXsTBgwcFqYEZLp0HZ8+ePZBKpXB1dYW/v7+uF18rnTt3Rs+ePZGenv70y3EY05JOg5Obm4uFCxfC2toas2fPxiuvvKLLxddamzZt0L9/f5w7dw55eXkv7sBYDek0OIsXL0Zubi7Gjh2LDz74QJeL1opYLEavXr1w8+ZN3L59W+hymAHRWXCkUil2794NBwcHLFmyRFeLfWndu3eHsbExcnJyhC6FGRCdBOfGjRtYvXo1KisrsXz5csGnaI9q164d2rZti7Nnz0KlUr24A2M1oJPgrFmzBhkZGRg/frxeTNEeZWJigiZNmqCwsPApXzlgTDsvHZwff/wRUqkUdnZ2WL58OYyN9et+L/9/mupFl9gwVhsv9V+en5+Pr7/+Gvfv30dMTAy6ddO/70haWlrCysrqie/oMPYytB5xNBoNdu7cieTkZHh7e2PMmDEAgDt37uDChQs6K/BliUQiiEQi1MEFEqwR03rE+eOPPxAWFoaOHTsiODgYYrEYiYmJ2LhxI8rKypCWlqbLOrWmVquhUqlgamrK0zWmM1qNODKZDEuXLkVZWRl8fHxw/fp1TJ48GR988MHz7zgjgPv376OwsBDOzs5a3xyEscdpdZHn5s2bMW3aNLRu3RqdO3fG1atXcf/+/Yfvt2zZEiNGjIBSqdRpsbUlFotx9+5dHDt2DM7OzujSpQvv6zDEx8e//EK0+fabj48PmZmZUadOnQgA//BPg/rRBa1GnHv37qGgoAAtWrSAVCqFRCKpdi1Yjx498NVXX0Emkz1nKXXPxMQEFy5cwIULFzB06FDY2NjwiMMwevTol16GTr6PU1RUhA0bNmDLli24efMmXF1d9ebgAAAQER8YYDql0y+y5eXlQSKRoKioCFu3btXVYhnTOzr/BqhGo0F5eTksLS11uVjG9IrePK6dPY0SWT99h50//oa7Zk1gpCGYNXfE+8H+eL35423VuP3rZgTHnkQzCzOI6DVMmO0D9x621ZuVXcXWjTFIuVSBls2NUKoQ4RWvT7DYw6G+Nsog6NeFZay6BxnYGrsE/92d9X8viNDK+VP4LH1aYxEsOvTC4AFypO/ZiB0/RWFvQSWSt8xDT2uTv5uZWMOp3xBc/zMUkXsqMGlmCPp14tlBbfGIo8duJMUg5qcc9Pf1Rw9jGRQkgql1B3Rtb/ncx4tUZmzHR74B+P4PNTp+LMWlte/D4vGPyFMr0eVbO5xeOwk2pvX60AqDwCOOvir/E0kZF3Cvz1R4udRuGmVq3AQ9hg7HgHuZyIiciPGdu2Lf3Deqh01kDJGpBUz4CT9a4Y8aPXXn2jHsXR6BqMC38ca8lZBezseDGk4ONKoqyGyGQPLNKrh1t8ChkEB89fuDx1oRQHxOS1scHL2khFKmgHW/oXizawfc2rgIH7p5YmZkKu7U6H9dBKiqIO8xHt/81wtdNelYNnEOvvtL2BPShoSDo5dM0MFtOnYcPYzkA3uwNfzf8Giag/i57yN4+xXU9EZXGhXB3jsWm1d5wTRnB+ZNW4WUQt6l1QUOjh4TAbC064Z/zvovvklYC+8u5TgQFoH0ytosxRjuQVH4atqbyE0Kx6LQb5BVBcCI921eBgengbBz9cPq4NHQlOeioKyWnU3bYfyqSKwe1xEnNsxGSPQRlKvMYczZ0RoHpwFp9fbbcDIy0W6wsH4dQV+sg99bRkiY9wlWJ/6BChEfU9MWB6cBUWRl4bbbaLi1enFb0VOeDmH+qgeCF8xGP5tzWL7qGxQUlkPMUzatcHD0EKlLkX/9DK7e+fsQcmXBdfx4qhJz50/Ei3IjIiWqysqgUj5+CE6EHmM+wxdzfNABgFqjAQ852uEToPpInoPdS9zxxZVRmOPvie7dbSG+fAZVXv9GYN/n/MmUMvx5Zh++27kDSXF/4q6iKW6O8cakt7vC5OFHpCUGLw1DWG4OPi5RQqMBIK6HbTIw4mXLli0TughWncjEFm3tu8Gy7D5u3s5Bqaol+oyfBs/uLZ8/RVBV4Opv+5ByswX6uvZCs6pC5Jp0wbDXO8K4Wkdr9HLrCdM2XTDg1VY8XdMCX6vGmBZ4H4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNMCB4cxLXBwGNPC/wD09O0jh845iQAAAABJRU5ErkJggg==)
physics-General
physics-
For the vectors
and
shown in figure
=
and |
| = 10 units while
then the value of R =
is nearly –
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAAC8CAYAAACHSGkpAAAgAElEQVR4nO2dSXNc13mwnzv07Xmege4G0BhJQSIpS2VXXEk5VUlVvIr/glbJ0tnJK5dXdlZeJjvnH8SVqqSSb5HYFSd2bEkhJZKYgQbQALrRQM/j7Tt8C7BvSImiKHHAJXCfKkglAWweAP3cc8573vO+gmmaJg4ODrZBvOwBODg4PIkjpYODzXCkdHCwGY6UDg42w5HSwcFmyJc9gAmmaWIYBsPhkNFohCiKSJKE2+1GUZTLHp6Dw2vDNlIahoGu6/R6PZrNJi6XC0VRCIfDjpQO1wrbSDkcDun1ety7d4979+4RiUSIxWKsrq6ytLR02cNzcHhtvHQpJ7kIgiA89XNP+/9wIeX5+Tn37t3jn//5n8lms+TzeWKxGAsLCwiC8KV/1sHhKvFypHy0H9Q1DcM0AQFBFBEkCVEAYfJ53UAQBERJQhRFRFFA13V0XadSqbC2tsbGxga7u7t0Oh263S7Ly8ssLi4SDocJBAIvZbgODnbmxaU0TUzTRNc0Bv0emqZhCBKSy4Xi9iJLIJk6Y3VMf6QiiS4UtweXCwRBQtM0RqMRx8fHfPbZZ2xtbXF0dESv16Pf77O7u8vh4SGiKDpSOlwLXlhKExNd1+h1Gpwc7FJvtOjpCr5IgtxMgZDXhaL1OD8/Z/+ohtcfIZMtEA75CQREer0eZ2dnrK+v89vf/pbz83Pi8ThutxvTNNnZ2eE///M/kSSJTCbjLGEdrjwvZ6Y0dIb9Dmcne+yXK5x0XUSzM/hjSRQJULvUT6tsbWwTiU/jC6TweNx4dZFWq8XBwQHb29usra3hdrtJp9MAiKLI8fExpmkyPz/PzZs3URQFl8v1wsN2cLArLy6lICBJAh63RDjsQqroHJ00GQkBZHR8bhlDUxjrAmpvhBjXCYUVJNmk0+lQ2tvjD3/4A61Wi3w+TzgcJhKJABeBodFoxHg8Znd3l48++oiFhQWmp6dfeNgODnblhaUUAEEUUdwuQmE/Xo9Mr91E8dQZj8eYJhiAaQoYhoQsufAHFAR02s0Wh+Uy9+/fxzRNlpaWCAQCBAIBJEkC4Pz8nHa7zfHxsXVU4kjpcJV5KTMlyMjuEMHYLJlUl8XELmOlQ6nWxpBdZKVzXIpEILuIN55FllwM+x0azSaNep1ms8nS0hLvvvsuJycnHB8fEw6HCYVCxONxdF3n5OSE7e1tbt269eLftYODjXkJRyLCxRLW5cUfypJMnjOf9XHSVykd1VBVFV+kiSj5CE/NEExEkWUXhq4zHo8RRBG/30+hUODdd9/lo48+olQqIcsyoVCIRCKBz+djOBxSLpfRdf3Fh+zgYGNeWvKAKIq4FIVwNMbM/ALd0jkfr6/ROHATmpWJTc2QzgeJxwLIsojP5yOVSnHnzh0ikQi5XA6/348syxiGAYAkSSSTSXK5HJIkcX5+Ti6XwzAMJ5nA4cry0qQUBBHJpeALRUjn5jg4G9P6eIeOKFBSsriSeQoJL9GQB0kEj8dDNBpFURSy2ayV6yqKopUVJEkSoVCIqakp3G433W6XRCLxsobs4GBLXl6a3aO9paQE8EamCfmrRLRzWrpMSZ0lqnu5IYgEhIv7YoIs4/V6cblcBAIBRqMRo9GIx0sGTdLyZFkmEong9/vxeDzOLOlwpXmJua+TvaUHtz9GOBRmKiggaDKqN8ZYCeMRJdyPXBJE8WLJ+9iZ42g0uvjc54QTRRGv14vX6315w3VwsCkvPSFdEC5Ei8XDrKzMENMDDGbmScRSuGTn0N/B4at4aVKapgmmgWHoGKaJy+0hlkzjksLo02nSsTDyo7PH53otB4drykuR0jRNTMNA18aooxGDwYieajIggOILk0r7ScQUFPn594GOmA7XlZeS+4ppoqlD+q0m7U6bZrdHvdGla3qJekPEg24iXonnmScdGR2uOy/lloihawx7Hc7KJU6qVcrtPn1NRHIFibiDuEUJNxcpeQ4ODs/mxavZmRezm6aq9LstOu0W7c4QDRfRZJJYPIZHlpF4Pimdow6H685LCvSYgImBCZKM4g0RTqR5a75AOhnF6/5mha+cpazDdeQlJKSDKEq4PD7CiTSGEsSreQlFY6QSUYL+r3+26MyWr4FHDzwTHi1hBGd7YRNe/OqWIIIk4AtFyLo9JHUDzRSRZRdej1Ma0paYJmBc1Nq9uHxnPQgdMS+fl7J8FQQBSXYhvaTkAGfZ+qoxgYtbOv3RGJCQZRcul4wiS85K5ZKxTd3Xp+G8OV4RggGmxmg0oHHexhRcuL1+Aj4vLr+E82O/XGwtpcPX5SKJY1LO0zAulqhPrjsEBEFHFHU67Sanh/sMVBNT9hFNJEhl0gT8HnxuBUkQHEEvAVtK6dwC+WaYJhi6jqaNL2obaRq6bmKYPCaXgCiBLAu063Wqe5ucNXu0dTepmSIDQSabjOGSZQRZRHJ2ma8dW0rp8A0xDXRNZdTv0el06Q2GqJqBbphPSikKiLJIt9VGEjR63Qbb5QbV3oimqTDSDIJ+36NYgSPl68aR8gphmga6OmLU79JqnNNodxioOppuPrkMFUQEQUIcd/H63GjagN29LcTmkIrmxe31U8xP43bJXNS7d3idOFJeIQRBRFbcePxBIoaA4gs8min5nJQCgiCi99yMG0Mi0TipzDTu+BRTU2nS0RA+RcQlOmeXl4Ej5RVCECVkjw+/4sUbjGKYBl88XboI3giCSffcw5nZJpHKMLcoEk4VKC4vUpxKEvbIyM7S9VJwpLxiCIKIIJoIooj0eNbOxWcffY2BIGgYokjf9OCJpFlZSRJLpsnlUyQiASRRdGbJS8KR8ioiPFp2fmmWjgGMGQNtw4MnEuTGTJRELEIyFkZ2EgguFVtK6WT0vGokQMHvC5PPXQR9PB4vfq8HSXKEvGxsJ+VESEfMV4kIpkLQrxAMRC57MA6fw3ZSOnw5pmkyHA5RVRVN0zBNE4/Hg6IoyLKMKIqf/wOPgj3mo6ONR818cTJ17IztpHSWTk/y+MpB13V6vR7tdhtVVTEMg0gkQigUuuiQ/TkpTdPA0FR0w8AwRQRRQpIFJNG5EWJnbCflhOsup/moQ/ZgMGA4HNJqtWg2m+zv73NycoIgCHi9XlZWVpibm0OSpMdq6JpgaIz6Hc5Oj+n0h4wlPx5/mHgsjt/rRhFxZkubYkspr7OQExk1TUPXdUvGcrlMuVzm4cOH7Ozs4PP5SCQSBINBMpkMPp/vsRe5uAUyHLSolLep1juMlCThxDQubxBFceN68UIwDq8IW0p5XTFNk36/T7fbpV6vc35+TrVa5fT0lFKpRKlU4ujoyGp0FAqFAJ4eMTU1Rr02lYNdSsfn9H19UpqbRGaKUBA8JkjX99lnaxwpbcJk79jr9ahWq+zv77O3t0e1WqVarbKzs8Pe3h7NZpPhcIjf77faAn5RykdlP0dDmmcVKkcndPwuTF+Sdn/IcDzGI4AgXQR+ROdWjq2wrZSTZdx1wjAMGo0Gu7u77OzssLOzgyAIuN1uwuEwyWTSahM46a3icrkQRfFzUokgeVC8IZKJNK2eiiQoSOaITuOMqqjRlTT8Xg8+fxCvx4NbcSE6YtoC20p53TBNE8MwGAwG1B91t+52u/j9foLBIOFwmOFwaDVBmnQge6qUggiCgssdIBKJEm916I8kBH1Ap3mOMOog6QOCwSDRZJZoOEJUknBJTtUBO2BbKa/jRWdBEIjH4ywvL5PP5xkMBtRqNWq1GsPhkH6/z9TUFPF4nEQigdvtRnqO/iy6aTDWxhiDHu3mOf36iH79CLcvTGS6TyE/g+TyEPRKKJITlb1sbCvldWPyEAqHw8zNzVnnjvfu3eP8/By/308ikSAcDqPrOn6/H0mSnrJ0/T9MJl0lLmbhi/IgOuqwS+fsiKbUpK66QfYRjSWRZflitny937rD53CktBGiKOLxeJBlmXq9Tq1Wo1QqsbGxQSaTYXl5mU6nQ6/XYzweMx6PMU3zGWKamJiIgoji9uGJpygsrBAwO6ihMce1LlvNBtXKKZXUFIos4ld8iJJzXnKZOFLahIlUsiwjSRK9Xs86AqnVaszPz7O8vMzp6Sm1Wo1Wq3VRrkOSnp1EbpogiLhkhUAgTDI7Tco1QJbPMPUyDyoNGo0m58028bAfM+LluToxObwybCvldYy+AmiaxnA45ODggI8//phGo0E8HmdmZoYbN24giiL9fh+4OArxer3WMvZpTH6CwsXNZjAvxA+EAngDXkSpiWlqaNoYXde4fj9x+2FbKa8rvV6PWq3GwcEBu7u7hMNhCoUCuVyOqakpms0mnU6HUCiELMvWv798pgQe9Q+9eNABCBd5sJKMy+VClmTnrNJG2FbK6xh9BTg9PeWzzz7j4OCAfr/PwsICt27dIpPJIEkSyWQSQRAwDMP6b0VRnj5TmljdtTVNRxtfdNkeqRpGvcOoP8ar+AgEQoRCIbwej3NWaQNsK+V1Q1VVRqMRx8fHPHz4kEajQSAQIJvNsry8TCKRQBRFwuEwiqJY+0mfz/elxyKiKKK4PbgVN8LYQBsN6bbbuKQh1HsMVAiHIkRjUWLhAD6vG0F0pLxsHCltQqfToVKpWNk84XCYpaUlisUi09PTuN1uBEGwEgYAS8wvQ3YphKMJwu0entEAtdukclCiLWoIjQGm4CGVTpPKJknF/AR9sjNT2gBHykvmosWAztnZGZubmxwdHdHr9SgUCty8efOJxHO4CNLI8vP92mS3h3BymqRq0hyf0hxo9FtnjCURRfASCkWJZbIk03HCfjcel5PRYwccKS+ZSbT1+PiYe/fuUa/XCYVCFAoFVldXSSQS3/i1XW4v4cwsphLAkH1UaufU2l0E2UcgPU0imWYqkyIU8ONxSUiCc/HZDthSyut0FNLtdqlUKhwcHFAul/F6vczOzjIzM0M2m8Xtdn/j1xYlF25/iLAgYRgmiseHp9EEl5dIcop4LEY0EsLjkh0hbYQtpYTrI2a9XufBgwfs7e3RbrfJZrPcunWLfD6Px+N5rtzWZyOguD3EUlMEogmmxmMQJGTFg+JyocgSoiOkrbCtlFed0WhEv9/n6OiIzc1Nms0m4XCY6elpFhYWSCaTL63coyjJuL0ybq/vq7/Y4dKxrZRX/Yyy1+txfHzM7u4u29vb+Hw+isUixWKRXC6Hz+e78j8Dh6djy8zjq/xmNAwDVVU5Pz9na2uL4+NjVFUlEomwsrJCPp8nEAg8VgTL4bph25nyqua+6rrOcDikWq3y4MEDqtUqXq+XfD7P6uoqqVTqS/NYHa4HtpXyqtLtdjk6OrJKRUqSRLFYZGZmhkQice2XreOxiqqOEEUJl+siffC6PaRs+91e1dzXdrvN5uYmOzs7NBoN/H4/q6urzM3N4fP5njsx4Kqijka0Gud0u23U8UUh6evG9X4HvEZGoxHdbpdyucz29jbNZpNoNEoul2N2dpZEIoHL5bqSD6Kvg2moGGqXVrdDrdYkEIoQjkXxuGQU1/WoiuBI+ZoYDAZUKhX29vbY3t5GFEVmZmaYn58nn88TCoWu3TLtaQimhmj0aZy1OTgZkJyeJu/yEAl4UVzX4/a1raW8CoEewzAYj8dWtLVcLqPrOslkkpWVFQqFwjNverz5mICBqo7otroMBgNUTb8olfmUVcF42ELtNTkoHfDp/RLB8jSl2jkLczMszs3gd8t4las9Y9pWyqsgJPxftLVWq7G+vk65XEaWZaampnjrrbeYmpq64scfJqCjDnvUTsqcndXpDIaMNR0m1RAeQ0JDFkbs7e7y6Ue/Q4ik8e+X6Q7/iFAsRSrkxaNcPMCuqpi2lPKqCAkXSQKTKgKVSgVBEJifn6dYLBKNRq0rWVcbE8PQUNURw0Gffm/AaCKlxUWun8QYmRGD4RBNNxDGY9ThkLGqMtYM9Cv03vgybCnlhKvwZu31euzs7LC9vU2tVrOq0s3PzxMMBq/4LDnhohyJPh4zVlVGIxVV054yUwoIxghR76FpY0SXC1GWkAUQJufWjpQO3xRVVWm1Wuzv77O9vU29Xicej1s3QOLx+DU5/hAAGbc3SHq6gC8UY6COL446vvDQFdCGLcb9GuDCECMEEymSuTzz80UyYS8Bj4zA1V26gk2lvApnlKPRyOqWtb29zWg0YnFxkWKxSKFQIBaLXfYQXxMXUnq8IbKFEJmvmOkG7Sqdcx8efwJfbJFsLktxvkDA58XnVa60jBNsKSW8uWl2n4+27u/vYxgGqVTKavDq8Xgue5iXxlc9bE1RQZcChGM+FgMuwpEwAZ/n2pxRgo2lfFOZNOmZlPfY398HIJ1Oc+PGDWZnZ98oKZ/2YPyyh+Xjwn3TlY4puNClAKGom6lAEEVRrsky//+4Xt/ta2AwGLC/v8/W1haVSgWAhYUFlpeXiUQib1TWzqSp0GAwYDAYPNFlWtM0S85J6wSPx4PP5yMYDFpnr183IUJR3ITDEatd/HVMqLCtlG/ivtIwDKvdwNbWFrVajVAoxMLCAouLi4TD4Tcq2joYDGg0GlZX6UmToNFoxGg0Qtd1dF3HNE1kWSYWi5FIJJienv7yWrRfwHwioOpyKSiK8sq+pzcB20r5pjEej2k0Gla0tVarEYvFrGjrpGjym0S/3+f09JSDgwMODw+tviWdTod2u02r1aLdbjMajXC5XLzzzju8/fbbzxnEMgGTsTpmOBxiIiJIF0tVxTXpLv2qv0N74kj5EjBN04q27u/vs7+/T6vVYmlpifn5eXK53BsZbR2NRjSbTarVKgcHB7hcLiRJ4vz8nFqtxvHxMdVqlV6vZy1d8/k84/H4K1Y5Joauo2ljBoMB3W4P3RRBdOP1egj4PbhkCUkSrk1w53EcKV+QSSWBRqPB9vY229vbqKpKIpFgZWWFxcVFAoHAZQ/zG+H3+8lkMgCEQiFrhqzX6/T7fYbDIaqqWkWio9EoqVQKv9//jP2gDuaYVrPJQbnKYKgiySKjwYBus00wmiCVmyUaCRIOepDF6yemI+ULMtlH1mo19vb2ODg4QBAE0uk08/PzFAqFNyra+jg+n49kMonL5SIQCHB0dMRwOEQUxSf2k263m3A4TCKRIJlMWg1tn4qpgzGg3a6ztVViONaJpyL0GjUqO9uEUnmGchBTlvH73YiicO0689lSyjfpjFJVVcrlslXdfDwes7S0xM2bN0kkEl8j4GE/FEUhGAxSr9ep1+scHx+zv7+PIAgUCgV0/eK2RyKRYHZ21kqKeGatWkODcZdBr8VxvYMgu8n4AkiNE/q1XQZjjVG4gOzzk4iFHlUeuNoZPJ/HdlK+KTKapomu63S7XQ4PD61KAi6Xi9nZWZaWlqwjkDeNySw4HA4ZDAY0m00qlQq1Wo1ms0kymSSTydDr9RgOhxQKBVZWVsjlckQikWdLaRpgqGjjEb2hiuxxIUouTH3MoFVhqCt0aw1i6T7DsYnHhY3rY7wabCflm4Ku69TrdQ4ODtja2uLo6IhgMGhVEkin02/ssrXX69FsNimVSuzt7XF0dMTx8TEej4e5uTkymQyhUIjT01Pq9TrZbNaqnjBpYvuliC5wBfEHI8xmwgzG0G12abcHaIhoCOhjDVXT0XUDwzC5XvOkDaV8E84mJ2d11WqVvb09yuUy7XbbCuxMT08TiUQue5jPzWR1oqoqw+GQSqXC4eEhm5ubrK+vWwGddDrN3NyctWcMhS76WmYyGfL5/FfPkoCJgGnKuGQXsYBCs6sxHKgMRxqIEqYoohkGmm5gWDdDrlcJd9tJOcGucpqmiaqqtNtt9vb22NzcpN/vE4lEWFpaYmVl5YkuWW8Ck6V4tVq1zlm3t7fp9XqMx2Omp6eZnp5mbm6OfD7P9vY2Ozs7VgWFdDpNKpXC6/V+5d9ljFXG3Tr9Zp12u8dAcxHwe1A8FwnnhiKhSpPEkat+H+Tp2FJKuwoJF7Nkp9Ox3sCHh4e4XC5rCZfP59+YJAFd1xmPx/R6PTqdDru7u6ytrVnNhiYR1YWFBW7cuMHU1BSJRILj42P6/T7BYJBIJMLU1BSxWOy5luuGNkJt1+nUa9TOWmiuIMGEjKIoF2eTAhi6hq5rF7Ols3y1D3aNwGqaxsnJCRsbGxweHtLr9VhdXWV1dZV0Oo2iKG9MvZ3hcEi9XrdydcvlMicnJ8iyTD6fp1gssri4SCaTIZVKWTVpQ6EQuVwOl8uF3+8nn88/94VtYzxi1K5RPz1mu3yOO2ySK5q4ZDA0E1UfMug26Pe69Ppjgm4Xplu8Vtk9tpXSbjy+bD08PGR7e5t2u43X66VQKLC4uEg0GrX1jYbJg05VVSuFrlwus7Ozw9bWFr1eD13XSaVSzM3Nsbi4yNLSEn6/31qaGoZBLBaz6tQGAgFrlnzuox/BxMRENw1MwUCWTUS3G68/gs/0ockCMga6cTFTmlwUHLguYtr2HWS3hHTTNGm1Wlbd1r29PQKBgLVszWazto+2TvaO5+fnVmOhra0t2u02mqaRSqUoFArWRywWIxgMPvGgEQSBZDJJIBCwukpPzmKf5/cluX344nnSBYGbXR8oftwuIBgiO3eDEG763iSZaACfS0J+MxYdLxVbSmm3Zauu66iqSrVaZXd3l5OTE3q9HrOzs6ysrDA1NUUwGLzsYX4pk/FPjjoODg6s5XelUsHj8ZDJZJifn2dpaYlsNksqlbJyXR9HEAT8fj9+v/8bjUV0eVDCaRJZiRuajzESwXAQ0a8QdbtQkRjJPmKxKEGvhCI/Sky3z/P5lWNLKcFeYo7HY7rdLvv7+zx8+JBWq0UgEGBhYYHV1VWi0ehlD/GZqKpqnalOAjmVSgVRFEmn01ayQzabJZlM4vP5UBTllaxUBMmF5IkQS3lQ/HE0AwSXgoiJaOQwTAEdEbfbjdejIMsX+8lr5KR9pbQLpmnSbrc5OTmxoq0+n49cLkehUCCbzdoy2jopS9LpdDg7O+Pw8JBSqcTOzg6dTgdZlkkmk8zOzlIsFpmfnyccDuP1el9pWqAgSAiyhEdScHv8GKaJbl5sVWRJsva9giA8ur51nXS8wLZS2uWXYZomtVqNjY0NDg4OaDQaFItFbt++TTabxe122y631TRNDMOg1Wqxvb3N5uYmGxsb1Ot1ABKJBHNzc8zMzDyxd3ydN/0FQQBRRsJ8lEV3IaCAAIL5f19zDbGtlHZgOBxaxZQ3Njbo9XqEw2Hy+TwLCwvEYjFbHX9MMo263S71ep2joyO2trY4PDyk0WggyzKZTIaZmRkWFxetc8dJ5PT1SjC5xPy5q1mC9Y9ri22ltMOest1uU6lU2NnZYXNzk2g0ysLCAnNzc1bJCzuhaRrNZpNyucz9+/fZ2dmhVqtZNzkKhQLLy8vkcjni8fgT9x6v66xkR2wr5WWi6zqaplGtVtnc3KRSqTAcDkmlUqyurpLNZvH5fJc9TODi4TUej2m1WpydnXFwcGBVP2g2m3i9XqssyeQjFot9deK4w6VhWykv88k9Hl+UqSiXy3z22WfU63W8Xi9zc3Pcvn3bNsnmk3PHfr/P3t4eGxsbPHz40MrKicViLC4uMjc3R6FQ+MLs6GBPbCnlZS+lJsvWUqnEwcEBkUiE6elpCoWC1dz1MjFN09rv1mo1Tk5O2NnZ4eDggE6ng9/vJ5vNWnvf6elpYrGYVfbxsn++Ds/GllLC5ea+1ut1q5BypVKhWCzy/vvvk8vlbNEla5IUf3Jywr1791hbW+Ps7IzRaEQmk7EuHU+Wqn6/H1mWnb3jG4JtpbwMBoMB/X7fShLo9/skk0lrxolGo5e27JssVRuNBufn59YsPrnLGQqFCIfDVknLfD5PMpnE6/XaOh/X4YvY9rd1GbmvvV6PSqXC7u4u9+/fJ5VKsbS0RLFYJJfLXWpgZJIMUC6XWVtb4/79++zu7uLxeIhEIiwuLrK4uEihUCCZTOLxeF5ZVo7Dq8WWUr7uZevj0db19XUqlQrj8Zh0Os2dO3cu9fhjUifn5OSEk5MT9vb22N/fp9/vE4vFmJ6eJp/PWxeQo9GoVRnAEfLNxJZSwusVU9M0BoMBR0dHfPbZZ5yeniLLMoVCgffff/8bJ1+/DHq9HmdnZ9y9e5e7d+9ydnZGp9Mhn8+zvLzMzZs3raV1IBB4VP3Niay+ydhWytdJu93m+PiYUqnE/v4+kUiE27dvMzMzQygUeq17skmK3GTvuLe3x97eHpVKhW63Szwet1LkZmZmmJ6eJh6P4/F4nL3jFcGWv8XXvZ9sNpvs7Oywu7vLwcEB09PTfPvb32ZmZua1R1snTXQqlQpra2vcu3ePTz/9lEAgYAVybty4QT6fJ5PJ4Ha736hOXg5fjS2lfF0MBgOrS9aDBw8YDAYUCjPMzV3cmohGo6/tzf743rFcLrO/v0+pVKLf71v7xnw+b9UBevxGhyPk1eLaSzlpgX7//n0ikSjz8wvMz88zMzPzWt/sk3o5Dx484Pe//z3VapXz83Pm5uasius3btwgHA5b1fIcGa8m11LKx6Ota2trnJycYJommVSM26vzeMQR2/f/wAgvY7zEU3Hi8SiKJKC8pBjKJDmi2WxaD4adnR2ri1U6nWZpaYmZmRlmZ2fJZDJEIhE8Ho8j4xXn2ko5HA4fSblu3cLPpGLcujnPWfWYzU//h7YZoSfEWb65hBIME1JEFPHlCDFJBjg7O2NtbY27d+/yySefoCgK0WiUpaUlbt26RT6fZ3p6GpfL5QRyrgm2/C2/6hS7TqfD0dERe3sX0VavIvHOcpF40Ef9tEKjN6YtRdE1GUXvUz85YFPrM5vPomRTSHzz9haTSnKVSsW6zXFwcECv12NmZoZsNmtdPp5Ef50E8uuFLaV8VUxEb7fbF4GU/RJHx8fcmC+wujiL1yNzflqhaQbpuRK4zR4eo0+zUua8VsHvU0hkUijA150wJ0cd/X6fs7Mz1tfX+f3vf8/x8THNZpOpqSmr6PGNGzeIRqOEw6ZS29oAABDlSURBVOGX/0NwsD22lfJV7JtGoxGdTodSqcRnn31Gu92mUCiQz+WIRsK02w1Oq1UCs6sUFpZwt6sozQrl03NqzQZn9Q7l+piUXyLqeb6ZazLrt9ttqtUqpVKJra0tqtUqrVaLRCLB0tIShULBagwUjUZtX67S4dVhSylfhZCmaVoFiEulEuvr6/j8fubmiuRyKULBALXTUw7KJyzN3WKqWMR9auISW5zXVIatM87rHZSGik9SvlLKiYy6rjMajajVamxubnL//n0+/fRTNE0jGo0yNzfHrVu3KBQKTE9PW+eODtcXW0r5sveUk54ZtVqN9fV1Dg/LqOqYubkk771/m4AEw36bVr1HvTpk0FERDB3D0Bjr44sPbUyr3cVVa5D3RyDybHE0TbMeAru7u9atjklkNZlMWnvHSceqN6nlgcOrw3ZSvooAj6Zp9Ho9qtUqGxsbVKsVZFkmO5Xh7dWb9Os1DtZqtJsD6rUR/c4IQ7tobGqOVUZjldF4TKfTQ6q3GGa8QOCpf5dhGNbfV6vV2N7e5uOPP+bg4IBWq2VVA5h06EokEoRCIUdGBwvbSfkq6Pf7HB0dsbu7y97eHoqicPv2bRYXl/F6Aww4R9NURiOVQW9Mr9Oj0zqHZhO92abd7tHp9DGHQwLjMYZhPPXvmQRyTk5OrCXy8fExnU6HYDDI/Py81VQ2k8kQj8fx+XxOZNXhCWwn5cvcT072dK1Wyzp6ODs7o1gssrq6ytxsEY/bBwgYuoY21lFVA1UdM1aHGKMR2lBlOLgQ1jPWMAzjidl8ElWd3DQ5Oztjc3OTtbU1Hj58SLfbJRaLUSgUePvtt62+I5NqAE4igMPnsZ2UE17Gm/XxLlkPHjygXq8zNTXF4uIixeIciUTcuncoiAKyIuLxSwQjAaKJJOaohdY/JxTw4XO78Xg8uDxupMe6zjx+zLG5uWkltXc6HcLhMMVi0SpcNT09TTQatSrJOUI6PA1bSvmib9bJ7NXtdjk+PrbqtgIUi0Vr+TjJIRVFEZei4PW5CIRc+AI+PP4wgj+I6fPh9XjwuF34/F4CwYtqcKZpPGqa06darXJwcMDdu3fZ29uj2+3i9/uZnZ21KgJkMpnn7uHocL2xpZTwYhHYSRrdyckJn3zyCffu3aNcLjM1NcXU1BTJZPKJlDW3WyESDhFPBEml/cgeF60+uFVwGWAiIkguotEguWycgN/NeDx+dAdznwcPHlg3OhRFYXV1lXw+z8zMDJlMxipe5QRzHJ4H20r5ImiaRrvd5ujoyKplMxwOkSQJt9uNpmmcnp4SDAbxeLxIkkwkFieZSZCtnyOKBpWjCv5mC09XRZfd+KNxYtEw8ZAbddjlqN5gY2OT9Y0NNjY2OD8/Jx6Pk81mWV1dpVgskk6nrf6OTjDH4XmxrZQvctF5kmxeKpXY3d2l2+1SKBSIRqMcHR1Rr9dxuVxM53LMF+eJBL1EpwpMqxpDTaU2bLD+u/+HR9Pw6DruYJyZt4ok42FcowYbGw8oba1T2itROzvD5/Nx48YNFhcXmZ2dZWpqyqpC7gRzHL4utpXymzCJgjabTattXb/fJxwOc/PmTUKhEKqq0mw26Xa7DIZDMKFYnCEaLxBLZxkbY8aHFWoHFTTRz8jlJxCIEIwnGPTaHNYrrN//lK2NDbq9HqIoWsGjSZ+OQCBguz4jDm8OV0rKiZBHR0c8fPiQWq1GLpdjbm6OP/qjPyIYDFpJBEdHR6iqyvr6GqJ40R7O5Q0xVVhC8SeIJ6ZA9CAIbnrDAZ36GaXtDcr7u/R7fUzTZGFhwbrvOImsTo46HBy+KVfi3TMJCj1+Jerw8BBVVVlaWuKdd95heXkZn89Hr9cjEAjgcrk4Ojri5OSEs7NzTk/PSCYTxGIpZJcXnzdAuzuk1RnQatQol8sc7O1SPTkmFouRyWa5efMmy8vLpFIpIpEIsiw7wRyHF8a2Un6d6KtpmtaydHd31+pWnEgkuH37tlVGw+VyWfmlk+pvo9GI0WhEqVRCliQSiQSSrCApHk5O9nj4qB35yckx4XCYpeUlFhYWmZ+ftyK5TvEqh5eJbaX8OkyirZVKhe3tbSqVCsFgkJmZGebm5shms9ZF4Yk8sixb16k0TePs7IxoNEq63aFSqVAul9nY3GBnZ5vhoI/HrZDP5ywhC4UCwWAQr9d72d++wxXjSkipqiq1Wo29vT22trbo9/vcuXOHW7duEYvFvjCLSZKEoij4fD4CgQDdbpfhcMj5+Tn7+/t8/PHH/O53v0NVVQxdZ35hgYX5eWYeVZILhUIEAgFn7+jwSnij31WT/hqNRsO6HjUYDAiFQlbH5UnV8Keh6zqqqtJoNKjX67RaLeuqVaPRIJFIkEwmuXHjBjdv3iSZTBKLxZy9o8MrxbZSPs85pa7rtNttTk5OePDgAbu7u4RCIebn5ykWi2QymaceTUwuHnc6HWq1miW0LMt4vV4ikQjz8/OsrKywvLxMJpMhlUqhKIqzd3R45dhSyq8K8ExyWyfFi3d3dzk+PmY0Glk1UlOp1Jfu9yZL1cPDQzY2Njg5OaHdbhOLxQiFQtZedJJMHggEbNNO3eHqY0sp4dlimqbJeDym3W6zt7fH5uYm9Xodv9/PzZs3eeedd6xk86fR6/U4OjpifX2djz/+GNM0CYfDzM/P895771EoFKxATjAYdFLkHF4rtpPyeY5BDMOwmvJsb29zdHRENBq1SvpPgjuPf/1E4rOzM7a3t3n48CHHx8f4/X5SqRQLCwu89dZbvP322yQSCWvv6ARzHF43b+Q7TtM0K1K6ublJrVbju9/9Lt/61rdIp9NfaJY6uYC8v7/PJ598wsOHD9nY2MDtdrO8vMw777zDu+++SzabJZVKWYWPnb2jw2VgOymfJYJpmoxGI+r1Otvb22xubjIej0kkEszNzVn7v8lrXNx3vOjOPElO39nZsZrmTE1NUSwWWVi46B8yOXd0ZHS4TGwnJXx55HVycblarfLw4UPW19fx+/0Ui0WKxSLZbPaJ5eZwOKRSqfDpp5/ym9/8hkqlgqZpzM7Ocvv2bYrFIoVCgXA47HQ/drANtpTyaei6zmAw4Pj4mK2tLSvaurq6yq1bt0ilUsiyjK7rVtOccrnM7u4u5XKZ0WhklXacn5/nxo0bpNNpYrEYiqI4e0cH2/BGvBNN07TqqO7v77O2tkatVkOSJJaXl3n33XcJBoMYhsFoNOL09JRPPvmEzz77jI2NDURRZGZmhpWVFVZXV63ux5M8WGd2dLATtpTy8xFYwzBotVocHR2xtbVFqVQiHo+Ty+XI5XLW7Y/z83MrEWB/f59Op0Mul7Oiq5Po7KSlnJOV42BHbCklPCmmYRjWxeXNzU0ODg74sz/7M77zne8wPT2NIAjU63XW1tb49a9/zc7ODoZhkMvl+Na3vsXy8jKFQuEJGZ3Z0cGu2FbKSbBncr64vb3N/fv3MU3TyrhJJpNWit3Ozo61dywUCqTTaWZnZ1leXiabzTpCOrwx2FJKQRAQRRFRFK17kpubm9y7d49EIsHy8jLz8/NEo1F+97vf8dFHH3H//n0GgwFLS0vcuHGDO3fuMDMz80T3Y0dGhzcB20k5kWcSbT06OuL8/JxqtYqqqsRiMRKJBGtra9y7d49SqUSj0aBYLBKPx5mfn2d2dpZcLkcoFEJRFCdNzuGZjMdjRqMRoijidrsRRfFSH+C2kxIuxJxk4ZTLZVRVpVqtous68XiceDzOb37zGx4+fIiu6yQSCf7kT/6E27dvW1XrHBkdnpfJFsnlciFJ0ku/CbS+vs7s7Oxz9xy1pZSmadJqtej3+3Q6HbrdLt1uF9M0WVtbo1KpMBwOmZ+fJ5vNUigUWFxcJJfLWXVWnaWqw1cxuW10eHjIf/3XfzEYDIhEIszMzLC4uEgoFLK2Pt+Uf/3Xf+X73/8+P//5z/nhD3/4XH/GVlIKgmA15Wk2mwwGAyqVCvV6nWg0SiAQYHt7G1EUWVxc5MaNG7z77rssLi4SDodf+AfocL2YSHl8fMyvf/1rqtUq4XCY9957D7/fjyiKSJL0pcW0S6USmUzmS2fA4XDIBx98AMDs7Oxzj8s2Uk72kpMkgUqlQrVapdfrMR6P8fv9eDyeJ1qRFwqFJ3p0OEI6fB0mAcVcLsef//mfs7e3x+npKcfHx/zTP/0ThUKB+fl58vk809PTT7zH7t69y507d/B4PPzwhz/kpz/96Rde/2c/+xmVSoW/+Iu/4Ac/+MFzj8s2Uk6Y7CUnRbBEUURRFFRVxe12s7S0xHvvvcf09DSxWOwJmTVNu+zhO7yBxGIxvv3tbxMOh/nDH/7A1tYW//M//0OhUODOnTsMh0OCwaA1MQiCwPr6OnAxG/7sZz8jnU7zgx/8wJoR19fX+du//Vs8Hs9ThX0WtpNyUuV88vH400lVVQ4ODhAEgY2NDaeSnMNLYTweMxwOqdVq1Ot1er0evV7PqtW0v7/Pw4cPuXnzJt/97nfx+/384Ac/4Kc//SnD4ZCf/OQn/M3f/A0/+tGP+Lu/+zu+973v8cEHHzAcDvnxj3/M7du3v9Z4bCXlZDkhy7JVo1VRFDweD4qiYJom1WqVbrdrrfFfRTt2h+vHJFFlOByiqiqj0Yharcbm5iZ7e3usr6/T7/f51re+Zc2YH374IcPhkP39fe7evcvdu3f54IMPkGUZTdO4ffs2H3744dcei22klGUZt9vN1NQUq6ureL1eQqEQbrcbt9tNOBy2zh0nVQUmgSEHhxdFEARcLhder5fhcEg4HGYwGFii9vt9VFX9wp/zeDz84he/AODv//7v+bd/+zd++ctfAnDnzp1vNBbbSDmpxTppJRcOh0mn009UNZckyZHQ4ZUwSVjRNA2fz4f7Uedur9eLz+ezLsDruv6lr/HXf/3X/Mu//Iv137/4xS/47W9/yy9+8Qu+853vPP9YTJu8yw3DQNd16vU69XqddrtNp9NBkiQr5W6CTYbs8IYzCRJO4hjlctkqFbO5uYnf77c6qq2srLC0tMy7797B7/c/9fV+9atf8ad/+qesrKzwq1/9ig8//JB/+Id/AODDDz/kxz/+8XMlENhGSsA6o5x8GIYBPLlMtdFwHa4AgiDQ7XY5Pz/n/v37/Pd//7dVsnRhYYH333+f1dVV3nrrLUKh0DOrG965c4e7d+/yj//4j9YRyC9/+Us++OADms0m3/ve9/jxj3/M9773vWePyU5SwsWMOWnuY7OhOVwxJquztbU1/v3f/51SqUS73SYUCpHNZpmbm2NhYYF0Ok0ikXhmMe7JLHn79m3+93//94nPVSoVvv/973P37l3gYtZ81jGJbfaUE5x8VYfXxWQlNqlo0Wg0CIfDrKys8N577zE1NUU8Hre6qj2LUqkE8NTjj0wmw3/8x3/wk5/8hFKpxF/+5V8+87VsJ6WDw+tCEAQkSSKbzfLHf/zHjMdj4vE46XSaqakpAoEAHo/nuSaKyV7xy/aMkUiEn//85883LrstXx0cXheTLVKr1aJSqSBJktWN2+12f61yMcPhkB/96Ef81V/9FSsrKy80LkdKh2vNpAVGv9+3UjonXdUuK5fakdLBgf+L6tvhUoOzp3RwwB4yTnBCnQ4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAzHCkdHGyGI6WDg81wpHRwsBmOlA4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAzHCkdHGyGI6WDg81wpHRwsBmOlA4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAz/j+Bo/PGXNra5wAAAABJRU5ErkJggg==)
For the vectors
and
shown in figure
=
and |
| = 10 units while
then the value of R =
is nearly –
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAAC8CAYAAACHSGkpAAAgAElEQVR4nO2dSXNc13mwnzv07Xmege4G0BhJQSIpS2VXXEk5VUlVvIr/glbJ0tnJK5dXdlZeJjvnH8SVqqSSb5HYFSd2bEkhJZKYgQbQALrRQM/j7Tt8C7BvSImiKHHAJXCfKkglAWweAP3cc8573vO+gmmaJg4ODrZBvOwBODg4PIkjpYODzXCkdHCwGY6UDg42w5HSwcFmyJc9gAmmaWIYBsPhkNFohCiKSJKE2+1GUZTLHp6Dw2vDNlIahoGu6/R6PZrNJi6XC0VRCIfDjpQO1wrbSDkcDun1ety7d4979+4RiUSIxWKsrq6ytLR02cNzcHhtvHQpJ7kIgiA89XNP+/9wIeX5+Tn37t3jn//5n8lms+TzeWKxGAsLCwiC8KV/1sHhKvFypHy0H9Q1DcM0AQFBFBEkCVEAYfJ53UAQBERJQhRFRFFA13V0XadSqbC2tsbGxga7u7t0Oh263S7Ly8ssLi4SDocJBAIvZbgODnbmxaU0TUzTRNc0Bv0emqZhCBKSy4Xi9iJLIJk6Y3VMf6QiiS4UtweXCwRBQtM0RqMRx8fHfPbZZ2xtbXF0dESv16Pf77O7u8vh4SGiKDpSOlwLXlhKExNd1+h1Gpwc7FJvtOjpCr5IgtxMgZDXhaL1OD8/Z/+ohtcfIZMtEA75CQREer0eZ2dnrK+v89vf/pbz83Pi8ThutxvTNNnZ2eE///M/kSSJTCbjLGEdrjwvZ6Y0dIb9Dmcne+yXK5x0XUSzM/hjSRQJULvUT6tsbWwTiU/jC6TweNx4dZFWq8XBwQHb29usra3hdrtJp9MAiKLI8fExpmkyPz/PzZs3URQFl8v1wsN2cLArLy6lICBJAh63RDjsQqroHJ00GQkBZHR8bhlDUxjrAmpvhBjXCYUVJNmk0+lQ2tvjD3/4A61Wi3w+TzgcJhKJABeBodFoxHg8Znd3l48++oiFhQWmp6dfeNgODnblhaUUAEEUUdwuQmE/Xo9Mr91E8dQZj8eYJhiAaQoYhoQsufAHFAR02s0Wh+Uy9+/fxzRNlpaWCAQCBAIBJEkC4Pz8nHa7zfHxsXVU4kjpcJV5KTMlyMjuEMHYLJlUl8XELmOlQ6nWxpBdZKVzXIpEILuIN55FllwM+x0azSaNep1ms8nS0hLvvvsuJycnHB8fEw6HCYVCxONxdF3n5OSE7e1tbt269eLftYODjXkJRyLCxRLW5cUfypJMnjOf9XHSVykd1VBVFV+kiSj5CE/NEExEkWUXhq4zHo8RRBG/30+hUODdd9/lo48+olQqIcsyoVCIRCKBz+djOBxSLpfRdf3Fh+zgYGNeWvKAKIq4FIVwNMbM/ALd0jkfr6/ROHATmpWJTc2QzgeJxwLIsojP5yOVSnHnzh0ikQi5XA6/348syxiGAYAkSSSTSXK5HJIkcX5+Ti6XwzAMJ5nA4cry0qQUBBHJpeALRUjn5jg4G9P6eIeOKFBSsriSeQoJL9GQB0kEj8dDNBpFURSy2ayV6yqKopUVJEkSoVCIqakp3G433W6XRCLxsobs4GBLXl6a3aO9paQE8EamCfmrRLRzWrpMSZ0lqnu5IYgEhIv7YoIs4/V6cblcBAIBRqMRo9GIx0sGTdLyZFkmEong9/vxeDzOLOlwpXmJua+TvaUHtz9GOBRmKiggaDKqN8ZYCeMRJdyPXBJE8WLJ+9iZ42g0uvjc54QTRRGv14vX6315w3VwsCkvPSFdEC5Ei8XDrKzMENMDDGbmScRSuGTn0N/B4at4aVKapgmmgWHoGKaJy+0hlkzjksLo02nSsTDyo7PH53otB4drykuR0jRNTMNA18aooxGDwYieajIggOILk0r7ScQUFPn594GOmA7XlZeS+4ppoqlD+q0m7U6bZrdHvdGla3qJekPEg24iXonnmScdGR2uOy/lloihawx7Hc7KJU6qVcrtPn1NRHIFibiDuEUJNxcpeQ4ODs/mxavZmRezm6aq9LstOu0W7c4QDRfRZJJYPIZHlpF4Pimdow6H685LCvSYgImBCZKM4g0RTqR5a75AOhnF6/5mha+cpazDdeQlJKSDKEq4PD7CiTSGEsSreQlFY6QSUYL+r3+26MyWr4FHDzwTHi1hBGd7YRNe/OqWIIIk4AtFyLo9JHUDzRSRZRdej1Ma0paYJmBc1Nq9uHxnPQgdMS+fl7J8FQQBSXYhvaTkAGfZ+qoxgYtbOv3RGJCQZRcul4wiS85K5ZKxTd3Xp+G8OV4RggGmxmg0oHHexhRcuL1+Aj4vLr+E82O/XGwtpcPX5SKJY1LO0zAulqhPrjsEBEFHFHU67Sanh/sMVBNT9hFNJEhl0gT8HnxuBUkQHEEvAVtK6dwC+WaYJhi6jqaNL2obaRq6bmKYPCaXgCiBLAu063Wqe5ucNXu0dTepmSIDQSabjOGSZQRZRHJ2ma8dW0rp8A0xDXRNZdTv0el06Q2GqJqBbphPSikKiLJIt9VGEjR63Qbb5QbV3oimqTDSDIJ+36NYgSPl68aR8gphmga6OmLU79JqnNNodxioOppuPrkMFUQEQUIcd/H63GjagN29LcTmkIrmxe31U8xP43bJXNS7d3idOFJeIQRBRFbcePxBIoaA4gs8min5nJQCgiCi99yMG0Mi0TipzDTu+BRTU2nS0RA+RcQlOmeXl4Ej5RVCECVkjw+/4sUbjGKYBl88XboI3giCSffcw5nZJpHKMLcoEk4VKC4vUpxKEvbIyM7S9VJwpLxiCIKIIJoIooj0eNbOxWcffY2BIGgYokjf9OCJpFlZSRJLpsnlUyQiASRRdGbJS8KR8ioiPFp2fmmWjgGMGQNtw4MnEuTGTJRELEIyFkZ2EgguFVtK6WT0vGokQMHvC5PPXQR9PB4vfq8HSXKEvGxsJ+VESEfMV4kIpkLQrxAMRC57MA6fw3ZSOnw5pmkyHA5RVRVN0zBNE4/Hg6IoyLKMKIqf/wOPgj3mo6ONR818cTJ17IztpHSWTk/y+MpB13V6vR7tdhtVVTEMg0gkQigUuuiQ/TkpTdPA0FR0w8AwRQRRQpIFJNG5EWJnbCflhOsup/moQ/ZgMGA4HNJqtWg2m+zv73NycoIgCHi9XlZWVpibm0OSpMdq6JpgaIz6Hc5Oj+n0h4wlPx5/mHgsjt/rRhFxZkubYkspr7OQExk1TUPXdUvGcrlMuVzm4cOH7Ozs4PP5SCQSBINBMpkMPp/vsRe5uAUyHLSolLep1juMlCThxDQubxBFceN68UIwDq8IW0p5XTFNk36/T7fbpV6vc35+TrVa5fT0lFKpRKlU4ujoyGp0FAqFAJ4eMTU1Rr02lYNdSsfn9H19UpqbRGaKUBA8JkjX99lnaxwpbcJk79jr9ahWq+zv77O3t0e1WqVarbKzs8Pe3h7NZpPhcIjf77faAn5RykdlP0dDmmcVKkcndPwuTF+Sdn/IcDzGI4AgXQR+ROdWjq2wrZSTZdx1wjAMGo0Gu7u77OzssLOzgyAIuN1uwuEwyWTSahM46a3icrkQRfFzUokgeVC8IZKJNK2eiiQoSOaITuOMqqjRlTT8Xg8+fxCvx4NbcSE6YtoC20p53TBNE8MwGAwG1B91t+52u/j9foLBIOFwmOFwaDVBmnQge6qUggiCgssdIBKJEm916I8kBH1Ap3mOMOog6QOCwSDRZJZoOEJUknBJTtUBO2BbKa/jRWdBEIjH4ywvL5PP5xkMBtRqNWq1GsPhkH6/z9TUFPF4nEQigdvtRnqO/iy6aTDWxhiDHu3mOf36iH79CLcvTGS6TyE/g+TyEPRKKJITlb1sbCvldWPyEAqHw8zNzVnnjvfu3eP8/By/308ikSAcDqPrOn6/H0mSnrJ0/T9MJl0lLmbhi/IgOuqwS+fsiKbUpK66QfYRjSWRZflitny937rD53CktBGiKOLxeJBlmXq9Tq1Wo1QqsbGxQSaTYXl5mU6nQ6/XYzweMx6PMU3zGWKamJiIgoji9uGJpygsrBAwO6ihMce1LlvNBtXKKZXUFIos4ld8iJJzXnKZOFLahIlUsiwjSRK9Xs86AqnVaszPz7O8vMzp6Sm1Wo1Wq3VRrkOSnp1EbpogiLhkhUAgTDI7Tco1QJbPMPUyDyoNGo0m58028bAfM+LluToxObwybCvldYy+AmiaxnA45ODggI8//phGo0E8HmdmZoYbN24giiL9fh+4OArxer3WMvZpTH6CwsXNZjAvxA+EAngDXkSpiWlqaNoYXde4fj9x+2FbKa8rvV6PWq3GwcEBu7u7hMNhCoUCuVyOqakpms0mnU6HUCiELMvWv798pgQe9Q+9eNABCBd5sJKMy+VClmTnrNJG2FbK6xh9BTg9PeWzzz7j4OCAfr/PwsICt27dIpPJIEkSyWQSQRAwDMP6b0VRnj5TmljdtTVNRxtfdNkeqRpGvcOoP8ar+AgEQoRCIbwej3NWaQNsK+V1Q1VVRqMRx8fHPHz4kEajQSAQIJvNsry8TCKRQBRFwuEwiqJY+0mfz/elxyKiKKK4PbgVN8LYQBsN6bbbuKQh1HsMVAiHIkRjUWLhAD6vG0F0pLxsHCltQqfToVKpWNk84XCYpaUlisUi09PTuN1uBEGwEgYAS8wvQ3YphKMJwu0entEAtdukclCiLWoIjQGm4CGVTpPKJknF/AR9sjNT2gBHykvmosWAztnZGZubmxwdHdHr9SgUCty8efOJxHO4CNLI8vP92mS3h3BymqRq0hyf0hxo9FtnjCURRfASCkWJZbIk03HCfjcel5PRYwccKS+ZSbT1+PiYe/fuUa/XCYVCFAoFVldXSSQS3/i1XW4v4cwsphLAkH1UaufU2l0E2UcgPU0imWYqkyIU8ONxSUiCc/HZDthSyut0FNLtdqlUKhwcHFAul/F6vczOzjIzM0M2m8Xtdn/j1xYlF25/iLAgYRgmiseHp9EEl5dIcop4LEY0EsLjkh0hbYQtpYTrI2a9XufBgwfs7e3RbrfJZrPcunWLfD6Px+N5rtzWZyOguD3EUlMEogmmxmMQJGTFg+JyocgSoiOkrbCtlFed0WhEv9/n6OiIzc1Nms0m4XCY6elpFhYWSCaTL63coyjJuL0ybq/vq7/Y4dKxrZRX/Yyy1+txfHzM7u4u29vb+Hw+isUixWKRXC6Hz+e78j8Dh6djy8zjq/xmNAwDVVU5Pz9na2uL4+NjVFUlEomwsrJCPp8nEAg8VgTL4bph25nyqua+6rrOcDikWq3y4MEDqtUqXq+XfD7P6uoqqVTqS/NYHa4HtpXyqtLtdjk6OrJKRUqSRLFYZGZmhkQice2XreOxiqqOEEUJl+siffC6PaRs+91e1dzXdrvN5uYmOzs7NBoN/H4/q6urzM3N4fP5njsx4Kqijka0Gud0u23U8UUh6evG9X4HvEZGoxHdbpdyucz29jbNZpNoNEoul2N2dpZEIoHL5bqSD6Kvg2moGGqXVrdDrdYkEIoQjkXxuGQU1/WoiuBI+ZoYDAZUKhX29vbY3t5GFEVmZmaYn58nn88TCoWu3TLtaQimhmj0aZy1OTgZkJyeJu/yEAl4UVzX4/a1raW8CoEewzAYj8dWtLVcLqPrOslkkpWVFQqFwjNverz5mICBqo7otroMBgNUTb8olfmUVcF42ELtNTkoHfDp/RLB8jSl2jkLczMszs3gd8t4las9Y9pWyqsgJPxftLVWq7G+vk65XEaWZaampnjrrbeYmpq64scfJqCjDnvUTsqcndXpDIaMNR0m1RAeQ0JDFkbs7e7y6Ue/Q4ik8e+X6Q7/iFAsRSrkxaNcPMCuqpi2lPKqCAkXSQKTKgKVSgVBEJifn6dYLBKNRq0rWVcbE8PQUNURw0Gffm/AaCKlxUWun8QYmRGD4RBNNxDGY9ThkLGqMtYM9Cv03vgybCnlhKvwZu31euzs7LC9vU2tVrOq0s3PzxMMBq/4LDnhohyJPh4zVlVGIxVV054yUwoIxghR76FpY0SXC1GWkAUQJufWjpQO3xRVVWm1Wuzv77O9vU29Xicej1s3QOLx+DU5/hAAGbc3SHq6gC8UY6COL446vvDQFdCGLcb9GuDCECMEEymSuTzz80UyYS8Bj4zA1V26gk2lvApnlKPRyOqWtb29zWg0YnFxkWKxSKFQIBaLXfYQXxMXUnq8IbKFEJmvmOkG7Sqdcx8efwJfbJFsLktxvkDA58XnVa60jBNsKSW8uWl2n4+27u/vYxgGqVTKavDq8Xgue5iXxlc9bE1RQZcChGM+FgMuwpEwAZ/n2pxRgo2lfFOZNOmZlPfY398HIJ1Oc+PGDWZnZ98oKZ/2YPyyh+Xjwn3TlY4puNClAKGom6lAEEVRrsky//+4Xt/ta2AwGLC/v8/W1haVSgWAhYUFlpeXiUQib1TWzqSp0GAwYDAYPNFlWtM0S85J6wSPx4PP5yMYDFpnr183IUJR3ITDEatd/HVMqLCtlG/ivtIwDKvdwNbWFrVajVAoxMLCAouLi4TD4Tcq2joYDGg0GlZX6UmToNFoxGg0Qtd1dF3HNE1kWSYWi5FIJJienv7yWrRfwHwioOpyKSiK8sq+pzcB20r5pjEej2k0Gla0tVarEYvFrGjrpGjym0S/3+f09JSDgwMODw+tviWdTod2u02r1aLdbjMajXC5XLzzzju8/fbbzxnEMgGTsTpmOBxiIiJIF0tVxTXpLv2qv0N74kj5EjBN04q27u/vs7+/T6vVYmlpifn5eXK53BsZbR2NRjSbTarVKgcHB7hcLiRJ4vz8nFqtxvHxMdVqlV6vZy1d8/k84/H4K1Y5Joauo2ljBoMB3W4P3RRBdOP1egj4PbhkCUkSrk1w53EcKV+QSSWBRqPB9vY229vbqKpKIpFgZWWFxcVFAoHAZQ/zG+H3+8lkMgCEQiFrhqzX6/T7fYbDIaqqWkWio9EoqVQKv9//jP2gDuaYVrPJQbnKYKgiySKjwYBus00wmiCVmyUaCRIOepDF6yemI+ULMtlH1mo19vb2ODg4QBAE0uk08/PzFAqFNyra+jg+n49kMonL5SIQCHB0dMRwOEQUxSf2k263m3A4TCKRIJlMWg1tn4qpgzGg3a6ztVViONaJpyL0GjUqO9uEUnmGchBTlvH73YiicO0689lSyjfpjFJVVcrlslXdfDwes7S0xM2bN0kkEl8j4GE/FEUhGAxSr9ep1+scHx+zv7+PIAgUCgV0/eK2RyKRYHZ21kqKeGatWkODcZdBr8VxvYMgu8n4AkiNE/q1XQZjjVG4gOzzk4iFHlUeuNoZPJ/HdlK+KTKapomu63S7XQ4PD61KAi6Xi9nZWZaWlqwjkDeNySw4HA4ZDAY0m00qlQq1Wo1ms0kymSSTydDr9RgOhxQKBVZWVsjlckQikWdLaRpgqGjjEb2hiuxxIUouTH3MoFVhqCt0aw1i6T7DsYnHhY3rY7wabCflm4Ku69TrdQ4ODtja2uLo6IhgMGhVEkin02/ssrXX69FsNimVSuzt7XF0dMTx8TEej4e5uTkymQyhUIjT01Pq9TrZbNaqnjBpYvuliC5wBfEHI8xmwgzG0G12abcHaIhoCOhjDVXT0XUDwzC5XvOkDaV8E84mJ2d11WqVvb09yuUy7XbbCuxMT08TiUQue5jPzWR1oqoqw+GQSqXC4eEhm5ubrK+vWwGddDrN3NyctWcMhS76WmYyGfL5/FfPkoCJgGnKuGQXsYBCs6sxHKgMRxqIEqYoohkGmm5gWDdDrlcJd9tJOcGucpqmiaqqtNtt9vb22NzcpN/vE4lEWFpaYmVl5YkuWW8Ck6V4tVq1zlm3t7fp9XqMx2Omp6eZnp5mbm6OfD7P9vY2Ozs7VgWFdDpNKpXC6/V+5d9ljFXG3Tr9Zp12u8dAcxHwe1A8FwnnhiKhSpPEkat+H+Tp2FJKuwoJF7Nkp9Ox3sCHh4e4XC5rCZfP59+YJAFd1xmPx/R6PTqdDru7u6ytrVnNhiYR1YWFBW7cuMHU1BSJRILj42P6/T7BYJBIJMLU1BSxWOy5luuGNkJt1+nUa9TOWmiuIMGEjKIoF2eTAhi6hq5rF7Ols3y1D3aNwGqaxsnJCRsbGxweHtLr9VhdXWV1dZV0Oo2iKG9MvZ3hcEi9XrdydcvlMicnJ8iyTD6fp1gssri4SCaTIZVKWTVpQ6EQuVwOl8uF3+8nn88/94VtYzxi1K5RPz1mu3yOO2ySK5q4ZDA0E1UfMug26Pe69Ppjgm4Xplu8Vtk9tpXSbjy+bD08PGR7e5t2u43X66VQKLC4uEg0GrX1jYbJg05VVSuFrlwus7Ozw9bWFr1eD13XSaVSzM3Nsbi4yNLSEn6/31qaGoZBLBaz6tQGAgFrlnzuox/BxMRENw1MwUCWTUS3G68/gs/0ockCMga6cTFTmlwUHLguYtr2HWS3hHTTNGm1Wlbd1r29PQKBgLVszWazto+2TvaO5+fnVmOhra0t2u02mqaRSqUoFArWRywWIxgMPvGgEQSBZDJJIBCwukpPzmKf5/cluX344nnSBYGbXR8oftwuIBgiO3eDEG763iSZaACfS0J+MxYdLxVbSmm3Zauu66iqSrVaZXd3l5OTE3q9HrOzs6ysrDA1NUUwGLzsYX4pk/FPjjoODg6s5XelUsHj8ZDJZJifn2dpaYlsNksqlbJyXR9HEAT8fj9+v/8bjUV0eVDCaRJZiRuajzESwXAQ0a8QdbtQkRjJPmKxKEGvhCI/Sky3z/P5lWNLKcFeYo7HY7rdLvv7+zx8+JBWq0UgEGBhYYHV1VWi0ehlD/GZqKpqnalOAjmVSgVRFEmn01ayQzabJZlM4vP5UBTllaxUBMmF5IkQS3lQ/HE0AwSXgoiJaOQwTAEdEbfbjdejIMsX+8lr5KR9pbQLpmnSbrc5OTmxoq0+n49cLkehUCCbzdoy2jopS9LpdDg7O+Pw8JBSqcTOzg6dTgdZlkkmk8zOzlIsFpmfnyccDuP1el9pWqAgSAiyhEdScHv8GKaJbl5sVWRJsva9giA8ur51nXS8wLZS2uWXYZomtVqNjY0NDg4OaDQaFItFbt++TTabxe122y631TRNDMOg1Wqxvb3N5uYmGxsb1Ot1ABKJBHNzc8zMzDyxd3ydN/0FQQBRRsJ8lEV3IaCAAIL5f19zDbGtlHZgOBxaxZQ3Njbo9XqEw2Hy+TwLCwvEYjFbHX9MMo263S71ep2joyO2trY4PDyk0WggyzKZTIaZmRkWFxetc8dJ5PT1SjC5xPy5q1mC9Y9ri22ltMOest1uU6lU2NnZYXNzk2g0ysLCAnNzc1bJCzuhaRrNZpNyucz9+/fZ2dmhVqtZNzkKhQLLy8vkcjni8fgT9x6v66xkR2wr5WWi6zqaplGtVtnc3KRSqTAcDkmlUqyurpLNZvH5fJc9TODi4TUej2m1WpydnXFwcGBVP2g2m3i9XqssyeQjFot9deK4w6VhWykv88k9Hl+UqSiXy3z22WfU63W8Xi9zc3Pcvn3bNsnmk3PHfr/P3t4eGxsbPHz40MrKicViLC4uMjc3R6FQ+MLs6GBPbCnlZS+lJsvWUqnEwcEBkUiE6elpCoWC1dz1MjFN09rv1mo1Tk5O2NnZ4eDggE6ng9/vJ5vNWnvf6elpYrGYVfbxsn++Ds/GllLC5ea+1ut1q5BypVKhWCzy/vvvk8vlbNEla5IUf3Jywr1791hbW+Ps7IzRaEQmk7EuHU+Wqn6/H1mWnb3jG4JtpbwMBoMB/X7fShLo9/skk0lrxolGo5e27JssVRuNBufn59YsPrnLGQqFCIfDVknLfD5PMpnE6/XaOh/X4YvY9rd1GbmvvV6PSqXC7u4u9+/fJ5VKsbS0RLFYJJfLXWpgZJIMUC6XWVtb4/79++zu7uLxeIhEIiwuLrK4uEihUCCZTOLxeF5ZVo7Dq8WWUr7uZevj0db19XUqlQrj8Zh0Os2dO3cu9fhjUifn5OSEk5MT9vb22N/fp9/vE4vFmJ6eJp/PWxeQo9GoVRnAEfLNxJZSwusVU9M0BoMBR0dHfPbZZ5yeniLLMoVCgffff/8bJ1+/DHq9HmdnZ9y9e5e7d+9ydnZGp9Mhn8+zvLzMzZs3raV1IBB4VP3Niay+ydhWytdJu93m+PiYUqnE/v4+kUiE27dvMzMzQygUeq17skmK3GTvuLe3x97eHpVKhW63Szwet1LkZmZmmJ6eJh6P4/F4nL3jFcGWv8XXvZ9sNpvs7Oywu7vLwcEB09PTfPvb32ZmZua1R1snTXQqlQpra2vcu3ePTz/9lEAgYAVybty4QT6fJ5PJ4Ha736hOXg5fjS2lfF0MBgOrS9aDBw8YDAYUCjPMzV3cmohGo6/tzf743rFcLrO/v0+pVKLf71v7xnw+b9UBevxGhyPk1eLaSzlpgX7//n0ikSjz8wvMz88zMzPzWt/sk3o5Dx484Pe//z3VapXz83Pm5uasius3btwgHA5b1fIcGa8m11LKx6Ota2trnJycYJommVSM26vzeMQR2/f/wAgvY7zEU3Hi8SiKJKC8pBjKJDmi2WxaD4adnR2ri1U6nWZpaYmZmRlmZ2fJZDJEIhE8Ho8j4xXn2ko5HA4fSblu3cLPpGLcujnPWfWYzU//h7YZoSfEWb65hBIME1JEFPHlCDFJBjg7O2NtbY27d+/yySefoCgK0WiUpaUlbt26RT6fZ3p6GpfL5QRyrgm2/C2/6hS7TqfD0dERe3sX0VavIvHOcpF40Ef9tEKjN6YtRdE1GUXvUz85YFPrM5vPomRTSHzz9haTSnKVSsW6zXFwcECv12NmZoZsNmtdPp5Ef50E8uuFLaV8VUxEb7fbF4GU/RJHx8fcmC+wujiL1yNzflqhaQbpuRK4zR4eo0+zUua8VsHvU0hkUijA150wJ0cd/X6fs7Mz1tfX+f3vf8/x8THNZpOpqSmr6PGNGzeIRqOEw6ZS29oAABDlSURBVOGX/0NwsD22lfJV7JtGoxGdTodSqcRnn31Gu92mUCiQz+WIRsK02w1Oq1UCs6sUFpZwt6sozQrl03NqzQZn9Q7l+piUXyLqeb6ZazLrt9ttqtUqpVKJra0tqtUqrVaLRCLB0tIShULBagwUjUZtX67S4dVhSylfhZCmaVoFiEulEuvr6/j8fubmiuRyKULBALXTUw7KJyzN3WKqWMR9auISW5zXVIatM87rHZSGik9SvlLKiYy6rjMajajVamxubnL//n0+/fRTNE0jGo0yNzfHrVu3KBQKTE9PW+eODtcXW0r5sveUk54ZtVqN9fV1Dg/LqOqYubkk771/m4AEw36bVr1HvTpk0FERDB3D0Bjr44sPbUyr3cVVa5D3RyDybHE0TbMeAru7u9atjklkNZlMWnvHSceqN6nlgcOrw3ZSvooAj6Zp9Ho9qtUqGxsbVKsVZFkmO5Xh7dWb9Os1DtZqtJsD6rUR/c4IQ7tobGqOVUZjldF4TKfTQ6q3GGa8QOCpf5dhGNbfV6vV2N7e5uOPP+bg4IBWq2VVA5h06EokEoRCIUdGBwvbSfkq6Pf7HB0dsbu7y97eHoqicPv2bRYXl/F6Aww4R9NURiOVQW9Mr9Oj0zqHZhO92abd7tHp9DGHQwLjMYZhPPXvmQRyTk5OrCXy8fExnU6HYDDI/Py81VQ2k8kQj8fx+XxOZNXhCWwn5cvcT072dK1Wyzp6ODs7o1gssrq6ytxsEY/bBwgYuoY21lFVA1UdM1aHGKMR2lBlOLgQ1jPWMAzjidl8ElWd3DQ5Oztjc3OTtbU1Hj58SLfbJRaLUSgUePvtt62+I5NqAE4igMPnsZ2UE17Gm/XxLlkPHjygXq8zNTXF4uIixeIciUTcuncoiAKyIuLxSwQjAaKJJOaohdY/JxTw4XO78Xg8uDxupMe6zjx+zLG5uWkltXc6HcLhMMVi0SpcNT09TTQatSrJOUI6PA1bSvmib9bJ7NXtdjk+PrbqtgIUi0Vr+TjJIRVFEZei4PW5CIRc+AI+PP4wgj+I6fPh9XjwuF34/F4CwYtqcKZpPGqa06darXJwcMDdu3fZ29uj2+3i9/uZnZ21KgJkMpnn7uHocL2xpZTwYhHYSRrdyckJn3zyCffu3aNcLjM1NcXU1BTJZPKJlDW3WyESDhFPBEml/cgeF60+uFVwGWAiIkguotEguWycgN/NeDx+dAdznwcPHlg3OhRFYXV1lXw+z8zMDJlMxipe5QRzHJ4H20r5ImiaRrvd5ujoyKplMxwOkSQJt9uNpmmcnp4SDAbxeLxIkkwkFieZSZCtnyOKBpWjCv5mC09XRZfd+KNxYtEw8ZAbddjlqN5gY2OT9Y0NNjY2OD8/Jx6Pk81mWV1dpVgskk6nrf6OTjDH4XmxrZQvctF5kmxeKpXY3d2l2+1SKBSIRqMcHR1Rr9dxuVxM53LMF+eJBL1EpwpMqxpDTaU2bLD+u/+HR9Pw6DruYJyZt4ok42FcowYbGw8oba1T2itROzvD5/Nx48YNFhcXmZ2dZWpqyqpC7gRzHL4utpXymzCJgjabTattXb/fJxwOc/PmTUKhEKqq0mw26Xa7DIZDMKFYnCEaLxBLZxkbY8aHFWoHFTTRz8jlJxCIEIwnGPTaHNYrrN//lK2NDbq9HqIoWsGjSZ+OQCBguz4jDm8OV0rKiZBHR0c8fPiQWq1GLpdjbm6OP/qjPyIYDFpJBEdHR6iqyvr6GqJ40R7O5Q0xVVhC8SeIJ6ZA9CAIbnrDAZ36GaXtDcr7u/R7fUzTZGFhwbrvOImsTo46HBy+KVfi3TMJCj1+Jerw8BBVVVlaWuKdd95heXkZn89Hr9cjEAjgcrk4Ojri5OSEs7NzTk/PSCYTxGIpZJcXnzdAuzuk1RnQatQol8sc7O1SPTkmFouRyWa5efMmy8vLpFIpIpEIsiw7wRyHF8a2Un6d6KtpmtaydHd31+pWnEgkuH37tlVGw+VyWfmlk+pvo9GI0WhEqVRCliQSiQSSrCApHk5O9nj4qB35yckx4XCYpeUlFhYWmZ+ftyK5TvEqh5eJbaX8OkyirZVKhe3tbSqVCsFgkJmZGebm5shms9ZF4Yk8sixb16k0TePs7IxoNEq63aFSqVAul9nY3GBnZ5vhoI/HrZDP5ywhC4UCwWAQr9d72d++wxXjSkipqiq1Wo29vT22trbo9/vcuXOHW7duEYvFvjCLSZKEoij4fD4CgQDdbpfhcMj5+Tn7+/t8/PHH/O53v0NVVQxdZ35hgYX5eWYeVZILhUIEAgFn7+jwSnij31WT/hqNRsO6HjUYDAiFQlbH5UnV8Keh6zqqqtJoNKjX67RaLeuqVaPRIJFIkEwmuXHjBjdv3iSZTBKLxZy9o8MrxbZSPs85pa7rtNttTk5OePDgAbu7u4RCIebn5ykWi2QymaceTUwuHnc6HWq1miW0LMt4vV4ikQjz8/OsrKywvLxMJpMhlUqhKIqzd3R45dhSyq8K8ExyWyfFi3d3dzk+PmY0Glk1UlOp1Jfu9yZL1cPDQzY2Njg5OaHdbhOLxQiFQtZedJJMHggEbNNO3eHqY0sp4dlimqbJeDym3W6zt7fH5uYm9Xodv9/PzZs3eeedd6xk86fR6/U4OjpifX2djz/+GNM0CYfDzM/P895771EoFKxATjAYdFLkHF4rtpPyeY5BDMOwmvJsb29zdHRENBq1SvpPgjuPf/1E4rOzM7a3t3n48CHHx8f4/X5SqRQLCwu89dZbvP322yQSCWvv6ARzHF43b+Q7TtM0K1K6ublJrVbju9/9Lt/61rdIp9NfaJY6uYC8v7/PJ598wsOHD9nY2MDtdrO8vMw777zDu+++SzabJZVKWYWPnb2jw2VgOymfJYJpmoxGI+r1Otvb22xubjIej0kkEszNzVn7v8lrXNx3vOjOPElO39nZsZrmTE1NUSwWWVi46B8yOXd0ZHS4TGwnJXx55HVycblarfLw4UPW19fx+/0Ui0WKxSLZbPaJ5eZwOKRSqfDpp5/ym9/8hkqlgqZpzM7Ocvv2bYrFIoVCgXA47HQ/drANtpTyaei6zmAw4Pj4mK2tLSvaurq6yq1bt0ilUsiyjK7rVtOccrnM7u4u5XKZ0WhklXacn5/nxo0bpNNpYrEYiqI4e0cH2/BGvBNN07TqqO7v77O2tkatVkOSJJaXl3n33XcJBoMYhsFoNOL09JRPPvmEzz77jI2NDURRZGZmhpWVFVZXV63ux5M8WGd2dLATtpTy8xFYwzBotVocHR2xtbVFqVQiHo+Ty+XI5XLW7Y/z83MrEWB/f59Op0Mul7Oiq5Po7KSlnJOV42BHbCklPCmmYRjWxeXNzU0ODg74sz/7M77zne8wPT2NIAjU63XW1tb49a9/zc7ODoZhkMvl+Na3vsXy8jKFQuEJGZ3Z0cGu2FbKSbBncr64vb3N/fv3MU3TyrhJJpNWit3Ozo61dywUCqTTaWZnZ1leXiabzTpCOrwx2FJKQRAQRRFRFK17kpubm9y7d49EIsHy8jLz8/NEo1F+97vf8dFHH3H//n0GgwFLS0vcuHGDO3fuMDMz80T3Y0dGhzcB20k5kWcSbT06OuL8/JxqtYqqqsRiMRKJBGtra9y7d49SqUSj0aBYLBKPx5mfn2d2dpZcLkcoFEJRFCdNzuGZjMdjRqMRoijidrsRRfFSH+C2kxIuxJxk4ZTLZVRVpVqtous68XiceDzOb37zGx4+fIiu6yQSCf7kT/6E27dvW1XrHBkdnpfJFsnlciFJ0ku/CbS+vs7s7Oxz9xy1pZSmadJqtej3+3Q6HbrdLt1uF9M0WVtbo1KpMBwOmZ+fJ5vNUigUWFxcJJfLWXVWnaWqw1cxuW10eHjIf/3XfzEYDIhEIszMzLC4uEgoFLK2Pt+Uf/3Xf+X73/8+P//5z/nhD3/4XH/GVlIKgmA15Wk2mwwGAyqVCvV6nWg0SiAQYHt7G1EUWVxc5MaNG7z77rssLi4SDodf+AfocL2YSHl8fMyvf/1rqtUq4XCY9957D7/fjyiKSJL0pcW0S6USmUzmS2fA4XDIBx98AMDs7Oxzj8s2Uk72kpMkgUqlQrVapdfrMR6P8fv9eDyeJ1qRFwqFJ3p0OEI6fB0mAcVcLsef//mfs7e3x+npKcfHx/zTP/0ThUKB+fl58vk809PTT7zH7t69y507d/B4PPzwhz/kpz/96Rde/2c/+xmVSoW/+Iu/4Ac/+MFzj8s2Uk6Y7CUnRbBEUURRFFRVxe12s7S0xHvvvcf09DSxWOwJmTVNu+zhO7yBxGIxvv3tbxMOh/nDH/7A1tYW//M//0OhUODOnTsMh0OCwaA1MQiCwPr6OnAxG/7sZz8jnU7zgx/8wJoR19fX+du//Vs8Hs9ThX0WtpNyUuV88vH400lVVQ4ODhAEgY2NDaeSnMNLYTweMxwOqdVq1Ot1er0evV7PqtW0v7/Pw4cPuXnzJt/97nfx+/384Ac/4Kc//SnD4ZCf/OQn/M3f/A0/+tGP+Lu/+zu+973v8cEHHzAcDvnxj3/M7du3v9Z4bCXlZDkhy7JVo1VRFDweD4qiYJom1WqVbrdrrfFfRTt2h+vHJFFlOByiqiqj0Yharcbm5iZ7e3usr6/T7/f51re+Zc2YH374IcPhkP39fe7evcvdu3f54IMPkGUZTdO4ffs2H3744dcei22klGUZt9vN1NQUq6ureL1eQqEQbrcbt9tNOBy2zh0nVQUmgSEHhxdFEARcLhder5fhcEg4HGYwGFii9vt9VFX9wp/zeDz84he/AODv//7v+bd/+zd++ctfAnDnzp1vNBbbSDmpxTppJRcOh0mn009UNZckyZHQ4ZUwSVjRNA2fz4f7Uedur9eLz+ezLsDruv6lr/HXf/3X/Mu//Iv137/4xS/47W9/yy9+8Qu+853vPP9YTJu8yw3DQNd16vU69XqddrtNp9NBkiQr5W6CTYbs8IYzCRJO4hjlctkqFbO5uYnf77c6qq2srLC0tMy7797B7/c/9fV+9atf8ad/+qesrKzwq1/9ig8//JB/+Id/AODDDz/kxz/+8XMlENhGSsA6o5x8GIYBPLlMtdFwHa4AgiDQ7XY5Pz/n/v37/Pd//7dVsnRhYYH333+f1dVV3nrrLUKh0DOrG965c4e7d+/yj//4j9YRyC9/+Us++OADms0m3/ve9/jxj3/M9773vWePyU5SwsWMOWnuY7OhOVwxJquztbU1/v3f/51SqUS73SYUCpHNZpmbm2NhYYF0Ok0ikXhmMe7JLHn79m3+93//94nPVSoVvv/973P37l3gYtZ81jGJbfaUE5x8VYfXxWQlNqlo0Wg0CIfDrKys8N577zE1NUU8Hre6qj2LUqkE8NTjj0wmw3/8x3/wk5/8hFKpxF/+5V8+87VsJ6WDw+tCEAQkSSKbzfLHf/zHjMdj4vE46XSaqakpAoEAHo/nuSaKyV7xy/aMkUiEn//85883LrstXx0cXheTLVKr1aJSqSBJktWN2+12f61yMcPhkB/96Ef81V/9FSsrKy80LkdKh2vNpAVGv9+3UjonXdUuK5fakdLBgf+L6tvhUoOzp3RwwB4yTnBCnQ4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAzHCkdHGyGI6WDg81wpHRwsBmOlA4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAzHCkdHGyGI6WDg81wpHRwsBmOlA4ONsOR0sHBZjhSOjjYDEdKBweb4Ujp4GAz/j+Bo/PGXNra5wAAAABJRU5ErkJggg==)
physics-General
physics-
Two forces, each numerically equal to 5 N, are acting as shown in the Fig. Then the resultant is–
![](data:image/png;base64,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)
Two forces, each numerically equal to 5 N, are acting as shown in the Fig. Then the resultant is–
![](data:image/png;base64,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)
physics-General
physics-
A body of mass m is thrown upwards at an angle
with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be-
A body of mass m is thrown upwards at an angle
with the horizontal with velocity v. While rising up the velocity of the mass after t seconds will be-
physics-General
physics-
In a projectile motion, velocity at maximum height is -
In a projectile motion, velocity at maximum height is -
physics-General
physics-
A body is thrown with a velocity of 9.8 m/s making an angle of
with the horizontal. It will hit the ground after a time -
A body is thrown with a velocity of 9.8 m/s making an angle of
with the horizontal. It will hit the ground after a time -
physics-General
physics-
A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed -
A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed -
physics-General