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MHT CET202411 May 2024Evening 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 ( , )

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

As vectors a , b , c are mutually orthogonal, we get array ll & a c =0 & -1+2 =0 & +2 =1...(i) array and b c =0 array ll & 2 +4+ =0 & 2 + =-4...(ii) array Solving (i) and (ii), we get =-3, =2

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