Question:
If $\overrightarrow{\mathrm{a}}=(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-3 \hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{b}}=(2 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+9 \hat{\mathrm{k}})$ then find a unit vector parallel to $(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}})$.
Solution: