(a) Find the co-ordinates of the foot of the perpendicular drawn from the point $(2, 3, -8)$ to the line $\frac{4-x}{2} = \frac{y}{6} = \frac{1-z}{3}$. Also, find the perpendicular distance of the given point from the line. OR (b) Find the shortest distance between the lines $L_1$ & $L_2$ given below : $L_1$ : The line passing through $(2, -1, 1)$ and parallel to $\frac{x}{1} = \frac{y}{1} = \frac{z}{3}$ $L_2$ : $\vec{r} = \hat{i} + $2\mu + 1$\hat{j} - (\mu + 2)\hat{k}$.