First slide

Vectors

Question

The angle made by the vector $\vec{A} = \hat{i} + \hat{j}$ with x-axis is

Easy

A

$90^{0}$
B

$45^{0}$
C

$22 . 5^{0}$
D

$30^{0}$

Solution

$\vec{A} = \hat{i} + \hat{j}$ $\Rightarrow$ |A| = $\sqrt{1^{2} + 1^{2}} = \sqrt{2}$
$cosα = \frac{A_{x}}{| A |} = \frac{1}{\sqrt{2}}$ = $\cos 45^{0} ∴ α = 45^{0}$

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