Question

A line L passing through the origin is perpendicular to the lines L₁ :(3 + t)i + (–1 + 2t)j + (4 + 2t)k and L₂ :(3 + 2s)i + (3 + 2s)j + (2 + s)k, where –∞< t, s < ∞

Then, the coordinate(s) of the point(s) on L₂ at a distance of √17 from the point of intersection of L and L₁ is

Answer 1

Answer is 

The common perpendicular is along

Since, point P is arbitrary point on line L₂

Therefore, P = (3 + 2s, 3 + 2s, 2 + s).