Maths-
General
Easy

Question

The distance of the point 3 i with ˆ on top plus 5 k with ˆ on top from the line parallel to vector 6 i with ˆ on top plus j with ˆ on top minus 2 k with ˆ on top and passing through the point 8 i with ˆ on top plus 3 space j with ˆ on top plus k with ˆ on top is

  1. 2 units    
  2. 3 units    
  3. 4 units    
  4. 5 units    

The correct answer is: 3 units

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The position vector of a point P is given by r with ‾ on top equals x i with ˆ on top plus y j with ˆ on top plus z k with ˆ on top where x comma y comma z element of N and a with ‾ on top equals i with ˆ on top plus 2 j with ˆ on top plus k with ˆ on top. Then the number of possible positions of P such that stack r with ‾ on top times stack a with ‾ on top equals 20 is

The position vector of a point P is given by r with ‾ on top equals x i with ˆ on top plus y j with ˆ on top plus z k with ˆ on top where x comma y comma z element of N and a with ‾ on top equals i with ˆ on top plus 2 j with ˆ on top plus k with ˆ on top. Then the number of possible positions of P such that stack r with ‾ on top times stack a with ‾ on top equals 20 is

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If A,B,C are three points with position vectors i with ˆ on top plus j with ˆ on top comma i with ˆ on top minus j with ˆ on top and  plus q j with ˆ on top plus r k with ˆ on top respectively, then the points are collinear if

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a with ‾ on top equals i with ‾ on top plus j with ‾ on top plus k with ‾ on top comma b with ‾ on top equals i with ‾ on top minus j with ‾ on top plus k with ‾ on top and c with ‾ on top equals i with ‾ on top minus j with ‾ on top minus k with ‾ on top be the three vectors A vector stack v with ‾ on top in the plane of stack a with ‾ on top & stack b with ‾ on top whose projection of stack c with ‾ on top is fraction numerator 1 over denominator square root of 3 end fraction is given by

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Two sides of triangle are given by equation  and angle between
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Two sides of triangle are given by equation  and angle between
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Maths-General
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