Question

If the three vectors $A,B$ and $C$ satisfy the relation $A\cdot B=0$ and $A\cdot C=0$, then vector $A$ is parallel to

• A. $A$
• B. $B$
• C. $A\times B$
• D. $B\times C$

Answer 1

The correct option is D $B\times C$

Given, $A\cdot B=0,\therefore A$ is $\perp$ to $B$
also, $A\cdot C=0,\therefore A$ is $perp$ is to $C$
As $B\times C$ is $\perp$ to both $B$ and $C$, so $B\times C$ is parallel to $A$.