Question

Find the shortest distance between the lines L₁ & L₂ given below : L₁ : The line passing through (2, −1, 1) and parallel to x/1 = y/1 = z/3 L₂ : r⃗ = î + (2μ + 1)ĵ − (μ + 2)k̂.

Find the shortest distance between the lines L₁ & L₂ given below : L₁ : The line passing through (2, -1, 1) and parallel to x/1 = y/1 = z/3, and L₂ : r⃗ = î + (2μ + 1)ĵ - (μ + 2)k̂.

Find the co-ordinates of the foot of the perpendicular drawn from the point (2, 3, -8) to the line (4-x)/2 = y/6 = (1-z)/3. Also, find the perpendicular distance of the given point from the line.

Find the shortest distance between the lines L₁ & L₂ given below : L₁ : The line passing through (2, -1, 1) and parallel to x/1 = y/1 = z/3, and L₂ : r = i + (2μ + 1)j - (μ + 2)k.