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AP EAMCET202124 Aug 2021Evening ShiftMathematicsVector AlgebraActual

If the vectors a = i - j +2 k , b =2 i +4 j + k and c = i + j + k are mutually orthogonal, then ( , ) is equal to

Options

  1. A(-3,2)
  2. B(2,-3)
  3. C(-2,3)
  4. D(3,-2)

Correct answer

A. (-3,2)

Step-by-step solution

Given, a = i - j +2 k , b =2 i +4 j + k c = i + j + k a , b and c are mutually perpendicular, a b = b c = c a =0 a c = -1+2 =0 ...(i) b c =2 +4+ =0 ...(ii) Solving Eqs. (i) and (ii), we get =-3 and =2

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