Case Study Based QuestionTwo motorcycles A and B are running at the speed more than the allowed speed on the roads represented by the lines $\vec{r} = \lambda(\hat{i} + 2\hat{j} - \hat{k})$ and$\vec{r} = (3\hat{i} + 3\hat{j}) + \mu(2\hat{i} + \hat{j} + \hat{k}) \; \text{ respectively. } \;$ 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.