Question

The unit vector along $\overrightarrow{A}=2\hat{i}+3\hat{j}$ is

• A. $2\hat{i}+3\hat{j}$
• B. $\frac{2\hat{i}+3\hat{j}}{2}$
• C. $\frac{2\hat{i}+3\hat{j}}{3}$
• D. $\frac{2\hat{i}+3\hat{j}}{\sqrt{13}}$

Answer 1

The correct option is D $\frac{2\hat{i}+3\hat{j}}{\sqrt{13}}$

Unit vector along $\overrightarrow{A}$,
$\hat{A}=\frac{\overrightarrow{A}}{|\overrightarrow{A}|}$
$=\frac{2\hat{i}+3\hat{j}}{\sqrt{2^2+3^2}}$
$\hat{A}=\frac{2\hat{i}+3\hat{j}}{\sqrt{13}}$