The area of the parallelogram represented

Your Ultimate Guide to JEE & NEET Question Solutions

The area of the parallelogram represented by the vectors $\overrightarrow A = 2\hat i + 3\hat j$ and $\overrightarrow B = \hat i + 4\hat j$ is.......$units$

A

$14$

B

$7.5$ 

C

$10$ 

D

$5$

The area of the parallelogram represented by the vectors $\overrightarrow A = 2\hat i + 3\hat j$ and $\overrightarrow B = \hat i + 4\hat j$ is.......$units$

$|\vec A \times \vec B|\; = \;|(2\hat i + 3\hat j) \times (\hat i + 4\hat j)|$

$ = \;|5\hat k|\; = \;5\;units$