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Manipal MET2011MathematicsVector Algebra

The vectors c , a ,=x i +y j +z k and b = j are such that a , b , c form a right handed system, then c is

Options

  1. A0
  2. B-z i +x k
  3. Cy j
  4. Dz i -x k

Correct answer

D. z i -x k

Step-by-step solution

Since, a , b , c form a right handed system c = b a aligned & = j (x i +y j +z k ) & =x( j i )+z( j k ) & =-x k +z i =z i -x k aligned

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