Question

Find the vector and cartesian equations of line through the point (1, 2, -4) and perpendicular to the two lines

Answer 1

Given Lines :

The required line passes through the point (1, 2, -4) and is perpendicular to the above two lines 

Let < a, b, c > denote the direction ratios of the required line, then using a₁a₂ + b₁b₂ + c₁c₂ = 0, we get.