Question

Find a unit vector in the direction of $\overrightarrow{a}=2\hat{i}-3\hat{j}+6\hat{k}$.

Answer 1

Given vector is $\overrightarrow{a}=2\hat{i}-3\hat{j}+6\hat{k}$

Unit vector in the direction of $\overrightarrow{a}=\frac{2\hat{i}-3\hat{j}+6\hat{k}}{\sqrt{(2{)}^2+(-3{)}^2+(6{)}^2}}=\frac{2\hat{i}-3\hat{j}+6\hat{k}}{\sqrt{49}}$

$=\frac{2}{7}\hat{i}-\frac{3}{7}\hat{j}+\frac{6}{7}\hat{k}$