Question

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

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

For unit vector along vector $\overrightarrow{A}$:

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