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

→

r

=λ(

^

i

+2

^

j

−

^

k

) and

→

r

=(3

^

i

+3

^

j

)+µ(2

^

i

+

^

j

+

^

k

)‌ 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.