1. Given the plane P with equation 2x + y - z = 3, and line M with symmetric equation x = 1 - y = z, determine if they intersect. If not, find the distance between them.
2. Let R1 be the plane containing the points (1, 1, 0), (1, 0, 1) and (0,1,1), and R2 be the plane with equation x + y + z = 1. Let L be the line of intersection of R1 and R2. (
2.1) Find an equation for R1
(2.2) Find parametric equations for L
(2.3) Find the distance between the origin and the line L