Three non-zero vectors A- B C satisfy the relation A- B-0 A- C-0- Then A can be parallel to

Given nbsp;A.B=0 & A.C=0 ⇒ nbsp; A is perpendicular to both nbsp;B,C We know that cross product of two vectors is perpendicular to both the vectors ...

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Byju's Answer

Standard XIII

Physics

Multiplication with Vectors

Three non-zer...

Question

Three non-zero vectors $\to A, \to B$ & $\to C$ satisfy the relation $\to A . \to B = 0$ & $\to A . \to C = 0$ . Then $\to A$ can be parallel to

\to B

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\to C

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\to B . \to C

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\to B \times \to C

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Solution

The correct option is D $\to B \times \to C$
Given $\to A . \to B = 0 & \to A . \to C = 0 \Rightarrow$ $\to A$ is perpendicular to both $\to B,$ $\to C$

We know that cross product of two vectors is perpendicular to both the vectors.
As $\to B \times \to C \neq 0$ , $\to B \times \to C$ is perpendicular to both $\to B, \to C$
So $\to A$ parallel with $\to B \times \to C$

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