The angle between vectors (A×B ) and (B×A

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The angle between vectors $(\overrightarrow {\rm{A}} \times \overrightarrow {\rm{B}} )$ and $(\overrightarrow {\rm{B}} \times \overrightarrow {\rm{A}} )$ is

A

Zero

B

$\pi$

C

$\pi /4$

D

$\pi /2$

The angle between vectors $(\overrightarrow {\rm{A}} \times \overrightarrow {\rm{B}} )$ and $(\overrightarrow {\rm{B}} \times \overrightarrow {\rm{A}} )$ is

$\vec A \times \vec B$ and $\vec B \times \vec A$ are parallel and opposite to each other. So the angle will be $\pi$.