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Manipal MET2017MathematicsVector Algebra

If the position vectors of A, B, C are respectively i -2 j + k , 2 i +3 j and 2 i - k , then the projection of A B on B C is equal to

Options

  1. A-14 10
  2. B5
  3. C7
  4. D2

Correct answer

A. -14 10

Step-by-step solution

Since, A B = i +5 j - k and B C =-3 j - k Projection of A B on B C = A B B C | B C | = ( i +5 j - k ) (-3 j - k ) (-3)^2+(-1)^2 = -15+1 10 =- 14 10

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