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{r}=\lambda(\stackrel{\^}{i}+2 \stackrel{\^}{j}-\stackrel{\^}{k}) and \overrightarrow{r}=(3 \stackrel{\^}{i}+3 \stackrel{\^}{j})+\mu(2 \stackrel{\^}{i}+\stackrel{\^}{j}+\stackrel{\^}{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.

CBSE Class 12 Math 2022 (Term II) Delhi Set 1 Solved Paper

Question : 14 of 14

Marks: +1, -0

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}↖{\^}) \;\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.

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