(a) Show that the lines L₁ : x = -2 2t; y = 1 + 4t; z 2 t

Last updated: 7/4/2022

(a) Show that the lines L₁ : x = -2 2t; y = 1 + 4t; z 2 t and L₂ :x=2-4t; y = 3 + 8t; z = 1+ 2t are parallel. (b) Find the equation of the plane P₁that contains these lines. (c) Find the equation of the plane P₂ that is perpendicularto P₁ and contains the points (-2, 1, 2) and (2, 3, 1). What is the equation of the linethat is the intersection of the planes P₁ and P₂?-