1. Given the line [:r:,y, z] = [1,3, 2] + t [2, 4, 7], find planes to satisfy the following conditions: a. A plane which is intersected by the line at the point (3, 7, 5). b. A plane which is not intersected by the line. c. A plane that the line lies on. 2. Given the plane :1: + 2y + 32: 5 = 0, find lines to satisfy the following conditions: a. A line which intersects the plane where it meets the m-axis. b. A line parallel to the plane. c. A line which lies on the plane