Question

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

• A. Zero
• B. $\tan^{- 1}(P/Q)$
• C. $\tan^{- 1}(Q/P)$
• D. $\tan^{- 1}(P - Q)/(P + Q)$

Answer 1

Answer: (A)

Zero

Answer 2

Resultant $\overrightarrow{R} = \overrightarrow{P} + \overrightarrow{Q} + \overrightarrow{P} - \overrightarrow{Q} = 2\overrightarrow{P}$

The angle between $\overrightarrow{P}$ and $2\overrightarrow{P}$ is zero.