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Question: Given \(\overrightarrow{A} = 2\widehat{i} + 3\widehat{j}\). The angle between \(\overrightarrow{A}\)...

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

A

(a)sin⁡−123\sin^{- 1}\frac{2}{3}

A

(b)cos⁡−123\cos^{- 1}\frac{2}{3}

A

(c)tan⁡−123\tan^{- 1}\frac{2}{3}

A

(d)tan⁡−132\tan^{- 1}\frac{3}{2}

Explanation

Solution

(c)

q = tan–1 (AxAy)\left( \frac{Ax}{Ay} \right) = tan–1(23)\left( \frac{2}{3} \right)