(a) Find the coordinates of the foot of the perpendicular drawn from the point $\mathrm{P}\left(0,2,3\right)$ to the line $\frac{\mathit{x}+3}{5}=\frac{\mathrm{y}-1}{2}=\frac{\mathrm{z}+4}{3}$.
OR
(b) Three vectors $\overrightarrow{\mathit{a}},\overrightarrow{\mathit{b}}$ and $\overrightarrow{\mathit{c}}$ satisfy the condition $\overrightarrow{\mathit{a}}+\overrightarrow{\mathit{b}}+\overrightarrow{\mathit{c}}=\overrightarrow{0}$ Evaluate the quantity $\mathit{\mu }=\overrightarrow{\mathit{a}}\cdot \overrightarrow{\mathit{b}}+\overrightarrow{\mathit{b}}\cdot \overrightarrow{\mathit{c}}+\overrightarrow{\mathit{c}}\cdot \overrightarrow{\mathit{a}}$, if $\left|\overrightarrow{\mathit{a}}\right|=3$, $\left|\overrightarrow{\mathrm{b}}\right|=4$ and $\left|\overrightarrow{\mathrm{c}}\right|=2$