Three vectors satisfy the relation A . B = 0 and A . C = 0, then A is parallel to

Three vectors satisfy the relation A . B = 0 and A . C = 0, then A is parallel to

  1. A

    BxC

  2. B

    B.C

  3. C

    C

  4. D

    B

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    Solution:

    Given that, A.B  = 0 and A . C = 0
    So, A is perpendicular to B as well as C.
    Let D = B x C i.e., direction of D is perpendicular to the plane containing B and C.
    Therefore, A is parallel to D i.e., A is parallel to B x C.

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