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MHT CET202415 May 2024Morning ShiftMathematicsVector AlgebraActual

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

Options

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

Correct answer

C. (-3,2)

Step-by-step solution

Since the given vectors are mutually orthogonal. a ~b =2-4+2=0 a c = p -1+2 q =0 ...(i) b c =2 p +4+ q =0 ...(ii) Solving (i) and (ii), we get (p, q)=(-3,2)

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