First slide

Scalars and Vectors

Question

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

Easy

A

90⁰
B

45⁰
C

22.5⁰
D

30⁰

Solution

$\begin{array}{l} \vec{A} = \hat{i} + \hat{j} \Rightarrow | A | = \sqrt{1^{2} + 1^{2}} = \sqrt{2} \\ \cos α = \frac{A_{x}}{| A |} = \frac{1}{\sqrt{2}} = \cos 45^{\circ} ∴ α = 45^{\circ} \end{array}$

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