Let L be the line given by <3, -1,2> +t < 1,1,-1 >, for t R. (12.1) Show that the above line L lies

Let L be the line given by +t < 1,1,-1 >, for t R. (12.1) Show that the above line L lies on the plane -2x + 3y - 4z + 1 = 0. (12.2) Find an equation for the plane through the point P = (3, -2, 4) that is perpendicular to the line +t .