Area of parallelogram represented by vectors overrightarrow A = 2hat{i} + 3hat{j} and overrightarrow

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3-1.Vectors

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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

$5$

Solution

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

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

Standard 11

Physics

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