(a) Verify that lines given by $\vec{r} = $1 - \lambda$\hat{i} + (\lambda - 2)\hat{j} + $3 - 2\lambda$\hat{k}$ and $\vec{r} = (\mu + 1)\hat{i} + $2\mu - 1$\hat{j} - $2\mu + 1$\hat{k}$ are skew lines. Hence, find shortest distance between the lines. OR (b) During a cricket match, the position of the bowler, the wicket keeper and the leg slip fielder are in a line given by $\vec{B} = 2\hat{i} + 8\hat{j}$, $\vec{W} = 6\hat{i} + 12\hat{j}$ and $\vec{F} = 12\hat{i} + 18\hat{j}$ respectively. Calculate the ratio in which the wicketkeeper divides the line segment joining the bowler and the leg slip fielder.