If A× nbsp;B=B× nbsp;A then the angle

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If $\overrightarrow A \times \overrightarrow B=\overrightarrow B \times \overrightarrow A$ then the angle between $\overrightarrow A$ and $\overrightarrow B$ is

A

$\pi / 2$

B

$\pi / 3$

C

$\pi$

D

$\pi / 4$

If $\overrightarrow A \times \overrightarrow B=\overrightarrow B \times \overrightarrow A$ then the angle between $\overrightarrow A$ and $\overrightarrow B$ is

We know that $\overrightarrow A \times \overrightarrow B = - (\overrightarrow B \times \overrightarrow A )$ because the angle between these two is always $90^°$.

But if the angle between $\overrightarrow A $ and $\overrightarrow B $ is $0^°$. Then $\overrightarrow A \times \overrightarrow B = \overrightarrow B \times \overrightarrow A = 0$.