science
Grade-11
Easy

Question

Find magnitude and direction of a vector, A=6i^-8j^

  1. 21,45
  2. 10,53
  3. 30,30
  4. 23,60

hintHint:

magnitude of vector=square root of a squared plus b squared end root
tanθ=a over b

The correct answer is: 10,53


    • To find the magnitude or length of a vector, take the square root of the sum of the squares of each component v=square root of a squared plus b squared end root

    • Given the vector v6i−8j (equivalent to <6,−8>)

    • v=square root of 6 squared plus left parenthesis negative 8 right parenthesis squared end root=10

    • To find the direction 
      tanθ=a over b
⇒ θtan-1(a over b)tan-1(fraction numerator 6 over denominator negative 8 end fraction)53 degree

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