First slide

Scalars and Vectors

Question

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

Easy

A

Unit vector
B

Null vector
C

Vector of magnitude $\sqrt{2}$
D

Scalar

Solution

$\begin{array}{l} \vec{P} = \frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j} ∴ | \vec{P} | = \sqrt{{(\frac{1}{\sqrt{2}})}^{2} + {(\frac{1}{\sqrt{2}})}^{2}} = 1 \\ ∴ It is a unit vector. \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App