Question

The value of a unit vector in the direction of vector $\text{A}=5\hat{i}-12\hat{j}$ is

• A. $\hat{i}$
• B. $\hat{j}$
• C. $(\hat{i}+\hat{j})$
• D. $\frac{(5\hat{i}-12\hat{j})}{13}$

Answer 1

The correct option is D $\frac{(5\hat{i}-12\hat{j})}{13}$

$\overrightarrow{A}=5\hat{i}-12\hat{j},|\overrightarrow{A}|=\sqrt{5^2+(-12{)}^2}=\sqrt{25+144}=13$
Unit vector $\overrightarrow{A}=\frac{\overrightarrow{A}}{|\overrightarrow{A}|}=\frac{5\hat{i}-12\hat{j}}{13}$