First slide

Vectors

Question

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

Moderate

A

14 units
B

7.5 units
C

10 units
D

5 units

Solution

Area = I A X BI
$Here, A \times B = (2 \hat{i} + 3 \hat{j}) \times (\hat{i} + 4 \hat{j})$
$= 8 \hat{k} - 3 \hat{k} = 5 \hat{k}$
$∴ Area = | A \times B | = 5 units$

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