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BITSAT2012MathematicsVector AlgebraActual

The unit vector perpendicular to the vectors 6 i +2 j +3 k and 3 i -6 j -2 k is -

Options

  1. A2 i -3 j +6 k 7
  2. B2 i -3 j -6 k 7
  3. C2 i +3 j -6 k 7
  4. D2 i +3 j +6 k 7

Correct answer

C. 2 i +3 j -6 k 7

Step-by-step solution

Unit vector perpendicular to both the given vectors is, (6 i +2 j +3 k ) (3 i -6 j -2 k ) |(6 i +2 j +3 k ) (3 i -6 j -2 k )| = 2 i +3 j -6 k 7

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