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JEE Main2010MathematicsVector AlgebraActual

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

Options

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

Correct answer

D. (-3,2)

Step-by-step solution

aligned & a b =0, b c =0, c a =0 & 2 +4+ =0 -1+2 =0 & aligned Solving we get: =-3, =2

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