No notes, calculators, or other aids are allowed. Read all directions carefully and write your answers in the space provided. To receive full credit, you must show all of your work. 1. Let A(1, 2,3) be a points in space; L be a line through B(0,1,1) parallel to 11' = (1,0,1); S be a plane through C(O, U, 2) with normal vector 13 = (1, 1,0). (a) [6 points) Find the parametric equations of the line L and the parametric equation of the plane 8. (b) (6 points) Find the distance from the point A to the plane 5'. (c) (6 points) Is the line L parallel to the plane 5' (orthogonal to :53)? If not, nd the inter- section point of L and S