Question

Let L₁ and L₂ denote the lines

r = i+λ ( 2i +k)+t(2i+2j- k),t∈ R  and

r =μ (2i -j +2k ),μ∈ R 

respectively. If L₃ is a line which is perpendicular to both L₁ and L₂ and cuts both of them, then which of the following options describe(s) L₃ ?

Answer 1

Correct Option :-  (A, B, C)

Explanation :-

∵ L₃ is perpendicular to both L₁ and L₂.

Then a vector along L3 will be,