What is the angle between (P + Q ) and (P×

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What is the angle between $(\overrightarrow P + \overrightarrow Q )$ and $(\overrightarrow P \times \overrightarrow Q )$

A

0

B

$\frac{\pi }{2}$

C

$\frac{\pi }{4}$

D

$\pi $

What is the angle between $(\overrightarrow P + \overrightarrow Q )$ and $(\overrightarrow P \times \overrightarrow Q )$

Vector$(\vec P + \vec Q)$ lies in a plane and vector $(\vec P \times \vec Q)$ is perpendicular to this plane i.e. the angle between given vectors is $\frac{\pi }{2}$.