What is the angle between P and the result

Your Ultimate Guide to JEE & NEET Question Solutions

What is the angle between $\overrightarrow P $ and the resultant of $(\overrightarrow P + \overrightarrow Q )$ and $(\overrightarrow P - \overrightarrow Q )$

A

Zero

B

${\tan ^{ - 1}}(P/Q)$

C

${\tan ^{ - 1}}(Q/P)$

D

${\tan ^{ - 1}}(P - Q)/(P + Q)$

What is the angle between $\overrightarrow P $ and the resultant of $(\overrightarrow P + \overrightarrow Q )$ and $(\overrightarrow P - \overrightarrow Q )$

Resultant $\vec R = \vec P + \vec Q + \vec P - \vec Q = 2\vec P$

The angle between $\vec P$ and $2\vec P$ is zero.