A plan passes through the points A = (1, 1, 1), B = (1, 1, 4), and C = (2, 2, 0). (a) Find

A plan α passes through the points A = (1, 1, 1), B = (−1, 1, 4), and C = (2, 2, 0).

(a) Find a parametric formulation for the plan.

(b) Find an equation for the plan.

The lines l and m are given by the parameter productions

(c) Find the minimum distance from each of the lines to the plan. Hint: Are the lines parallel to the plan?
 

I 1: Y 2 = 2 + 3t = 1+t =-1-t og m: x = 2-2t 2 =-1-4t. = 1+t