First slide

Scalars and Vectors

Question

The area of the parallelogram represented by the vectors, $\vec{A} = 4 \hat{i} + 3 \hat{j}$ and $\vec{B} = 2 \hat{i} + 4 \hat{j}$ is

Moderate

A

14 units
B

7.5 units
C

10 units
D

5 units

Solution

Area $= | \vec{A} \times \vec{B} |$
$= | (4 \hat{i} + 3 \hat{j}) \times (2 \hat{i} + 4 \hat{j}) |$
$= | 16 \hat{k} - 6 \hat{k} | = | 10 \hat{k} | = 10 u n i t s$

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