Question

The angle between $\overrightarrow{A}$ and resultant of $(\overrightarrow{A}+\overrightarrow{B})$ and $(\overrightarrow{A}-\overrightarrow{B})$ is

• A. $0^{\circ }$
• B. ${90}^{\circ }$
• C. ${\tan }^{-1}\left(\frac{A}{B}\right)$
• D. ${\tan }^{-1}\left(\frac{A-B}{A+B}\right)$

Answer 1

The correct option is A $0^{\circ }$

Resultant of vectors:
$=(\overrightarrow{A}+\overrightarrow{B})+(\overrightarrow{A}-\overrightarrow{B})=2\overrightarrow{A}$

So, the angle between $\overrightarrow{A}$ and $2\overrightarrow{A}$ is $0^{\circ }$.