Question

Given :$\overrightarrow{A} = 2\widehat{i} + 3\widehat{j}$. The angle between $\overrightarrow{A}$ and y-axis is -

• A. (a) sin^–1$\frac{2}{3}$
• A. (b) cos^–1$\frac{2}{3}$
• A. (c) tan^–1$\frac{2}{3}$
• A. (d) tan^–1$\frac{3}{2}$

Answer 1

(c)

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