Find the distance between the lines: \overrightarrow{r}=(\stackrel{\^}{i}+2 \stackrel{\^}{j}-4 \stackrel{\^}{k})+\lambda(2 \stackrel{\^}{i}+3 \stackrel{\^}{j}+6 \stackrel{\^}{k}) \overrightarrow{r}=(3 \stackrel{\^}{i}+3 \stackrel{\^}{j}-5 \stackrel{\^}{k})+\mu(4 \stackrel{\^}{i}+6 \stackrel{\^}{j}+12 \stackrel{\^}{k})

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper - Question 31

Question : 31 of 38

Marks: +1, -0

Find the distance between the lines:

{r}↖{→}=({i}↖{\^}+2 {j}↖{\^}-4 {k}↖{\^})+λ(2 {i}↖{\^}+3 {j}↖{\^}+6 {k}↖{\^})

{r}↖{→}=(3 {i}↖{\^}+3 {j}↖{\^}-5 {k}↖{\^})+µ(4 {i}↖{\^}+6 {j}↖{\^}+12 {k}↖{\^})

Solution:

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