Question

Given vector $\overrightarrow{A}=2\hat{i}+3\hat{j},$ the angle between $\overrightarrow{A}$ and y-axis is

• A. ${\tan }^{-1}3/2$
• B. ${\tan }^{-1}2/3$
• C. ${\sin }^{-1}2/3$
• D. ${\cos }^{-1}2/3$

Answer 1

The correct option is B ${\tan }^{-1}2/3$


$\tan \theta =\frac{2}{3}$
$\theta ={\tan }^{-1}\left(\frac{2}{3}\right)$