NCERT Exercise 11.2 Q8 - Three Dimensional Geometry
Question: Find the angle between the following pairs of lines: (i) r⃗ = 2î − 5ĵ + k̂ + λ(3î + 2ĵ + 6k̂) and r⃗ = 7î − 6k̂ + μ(î + 2ĵ + 2k̂); (ii) r⃗ = 3î + ĵ − 2k̂ + λ(î − ĵ − 2k̂) and r⃗ = 2î − 5ĵ − 6k̂ + μ(3î − 5ĵ − 4k̂).
Answer: (i) θ = cos⁻¹(19/21); (ii) θ = cos⁻¹(8/(5√3)).
Full step-by-step NCERT solution with diagrams on Something by Zero.