Question:
If $\overrightarrow{\mathrm{a}}=(-\hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{b}}=(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})$ then find the unit vector in the direction of $(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}})$.
Solution: