First slide

Vectors

Question

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

Moderate

A

BxC
B

B.C
C

C
D

B

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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