Question

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

Answer 1

Unit vector $=\hat{a}=\frac{\overrightarrow{a}}{|\overrightarrow{a}|}|\overrightarrow{a}|=\sqrt{1^2+1^2+2^2}=\sqrt{6}$
$\therefore \hat{a}=\frac{\hat{i}+\hat{j}+2\hat{k}}{\sqrt{6}}$.