First slide

Vectors

Question

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

Moderate

A

14 units
B

7.5 units
C

10 units
D

5 units

Solution

$| | \vec{A} \times \vec{B} | = (2 \hat{i} + 3 \hat{j}) \times (\hat{i} + 4 \hat{j}) | = | 5 \hat{k} | = 5 units |$

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