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

CBSE Class 12 Math 2023 Delhi Set 2 Solved Paper - Question 10

Question : 10 of 14

Marks: +1, -0

Find the angle between the following two lines:

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

{r}↖{→}\;=7 {i}↖{\^}-6 {k}↖{\^}+µ({i}↖{\^}+2 {j}↖{\^}+2 {k}↖{\^})

Solution:

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