Find the shortest distance between the following lines: \overrightarrow{r}=3 \stackrel{\^}{i}+5 \stackrel{\^}{j}+7 \stackrel{\^}{k}+\lambda(\stackrel{\^}{i}-2 \stackrel{\^}{j}+\stackrel{\^}{k}) \text{ and } \overrightarrow{r}=(-\stackrel{\^}{i}-\stackrel{\^}{j}-\stackrel{\^}{k})+\mu(7 \stackrel{\^}{i}-6 \stackrel{\^}{j}+\stackrel{\^}{k})

CBSE Class 12 Math 2022 (Term II) Outside Delhi Set 3 Solved ...

SECTION - B
Question Nos. 7 to 10 carry 3 marks each.

Question : 2 of 4

Marks: +1, -0

Find the shortest distance between the following lines:

{r}↖{→}=3 {i}↖{\^}+5 {j}↖{\^}+7 {k}↖{\^}+λ({i}↖{\^}-2 {j}↖{\^}+{k}↖{\^}) \;\text " and "\; {r}↖{→}=(-{i}↖{\^}-{j}↖{\^}-{k}↖{\^})+µ(7 {i}↖{\^}-6 {j}↖{\^}+{k}↖{\^})

Solution:

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