Consider the plane π: -x + 2y - 5z = 0 and the lines: x =

Last updated: 7/19/2022

Consider the plane π: -x + 2y - 5z = 0 and the lines: x = 4m, L₁ : y = -5m, z = 2m x = 4 + 3t, L2: y = 3, z=-t Part(a) [6 points] A line L is perpendicular to the plane π and passes through the intersection point of π and L2. Find the parametric equations of the line L. Part (b) [6 points] Find the point-normal equation of a plane π* that contains the line L₁ and is also perpendicular to π.