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

Answer 1

The correct option is D $5sq.units$

Area of a parallelogram is given by,
$|\overrightarrow{A}\times \overrightarrow{B}|=|(2\hat{i}+3\hat{j})\times (\hat{i}+4\hat{j})|=|5\hat{k}|=5sq.units$