Question

Three vectors $A$, $B$ and $C$ satisfy the relation $A\cdot B=0$ and $A\cdot C=0$. Then the vector $A$ is parallel or anti-parallel to

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

Answer 1

The correct option is D $B\times C$

$A\cdot B=0\therefore A\perp B$
Also, $A\cdot C=0$ $\therefore A\perp C$
$i.e.,A$ is $\perp$ to both $B$ and $C$.

So, $A$ will be parallel or anti-parallel to $B\times C$.