Question

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

• A. Zero
• B. $ta{n}^{-1}\left(\frac{P}{Q}\right)$
  
• C. $ta{n}^{-1}\left(\frac{Q}{P}\right)$
  
• D. $ta{n}^{-1}\left(\frac{P-Q}{P+Q}\right)$

Answer 1

The correct option is A

Zero

Resultant $\overrightarrow{R}+=\overrightarrow{P}+\overrightarrow{Q}+\overrightarrow{P}=2\overrightarrow{P}$
The angle between $\overrightarrow{P}$ and $2\overrightarrow{P}$ is zero.