Question

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

• A. $14units$
• B. $7.5units$
• C. $10units$
• D. $5units$

Answer 1

Answer: (D)

$5units$

As we know,

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