(a) Find a point on the line $\frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z - 3}{2}$ at a distance of $\sqrt{2}$ units from the point (1, 2, 3). OR (b) Find the shortest distance between the lines $\vec{r} = $4 + \lambda$\hat{i} + $2\lambda - 1$\hat{j} - 3\lambda\hat{k}$ $\vec{r} = $1 + 2\mu$\hat{i} + $2 - 5\mu$\hat{k} + $4\mu - 1$\hat{j}$.