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Vector Component

Given vector ...

Question

Given vector $\to A = 2^i + 3^j,$ the angle between $\to A$ and y-axis is

A

{tan}^{- 1} 3 / 2

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B

{tan}^{- 1} 2 / 3

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C

{sin}^{- 1} 2 / 3

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D

{cos}^{- 1} 2 / 3

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Solution

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

$tan θ = \frac{2}{3}$
$θ = {tan}^{- 1} (\frac{2}{3})$

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