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MHT CET202618 April 2026Evening ShiftMathematicsVector AlgebraActual

The value of (0, 2 ) for which vectors a = ( ) i + ( ) j and b = i - 3 j + 2 k are perpendicular is

Options

  1. A= 3
  2. B= 6
  3. C= 4
  4. D= 2

Correct answer

A. = 3

Step-by-step solution

For two vectors a and b to be perpendicular, their dot product must be zero. a b = 0 (( ) i + ( ) j ) ( i - 3 j + 2 k ) = 0 (1) + (- 3 ) + 0(2) = 0 - 3 = 0 = 3 = 3 Since (0, 2 ) , we have = 3 .

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