First slide

Vectors

Question

The expression $(\frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j})$ is a

Moderate

A

Unit vector
B

Null vector
C

Vector of magnitude $\sqrt{2}$
D

Scalar

Solution

$\vec{P} = \frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j}$
$∴ | \vec{P} | = \sqrt{{(\frac{1}{\sqrt{2}})}^{2} + {(\frac{1}{\sqrt{2}})}^{2}} = 1$
Hence, it is a unit vector

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