Question

The vector equation of a line passing through the point (1, –1, 0) and parallel to Y-axis is:

The Cartesian equation of the line passing through the point (1, −3, 2) and parallel to the line r⃗ = (2 + λ)î + λĵ + (2λ − 1)k̂ is :

Find the vector equation of the line passing through the point (2, 3, −5) and making equal angles with the co-ordinate axes.

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.