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AP EAMCET202316 May 2023Evening ShiftMathematicsVector AlgebraActual

If a = i +3 j +13 k and b =2 i -4 j +3 k are two vectors, then the component vector of a perpendicular to b is

Options

  1. Ai - j -2 k
  2. B3 i +3 j +2 k
  3. C- i +7 j +10 k
  4. D4 i +5 j +4 k

Correct answer

C. - i +7 j +10 k

Step-by-step solution

Given a = i +3 j +13 k , b =2 i -4 j +3 k Let the component of vector a perpendicular to b is x aligned & b + x = a x = a - b & x =( i +3 j +13 k )-(2 i -4 j +3 k ) & x =- i +7 j +10 k aligned

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