Case Study Based Question
Two motorcycles A and B are running at the speed more than the allowed speed on the roads represented by the lines $\overrightarrow{\mathit{r}}=\mathit{\lambda }\left(\hat{\mathit{i}}+2\hat{\mathit{j}}-\hat{\mathit{k}}\right)$ and
Based on the above information, answer the following questions :
(a) Find the shortest distance between the given lines.
(b) Find the point at which the motorcycles may collide.