Problem 1. (12 points) A line has direction vector = (s, 1, 3) = si+7+3k and goes through the point o = (1, 1, -3)=7+7-3k. A plane P is given by 2r+y-z = 5. (a) (5 points). Find the value of s for which the line DOES NOT intersect the plane P. (b) (7 points). For the value of s you found in part (a), what is the distance between the line and plane P? (Hint: You only need to compute the distance from Fo to the plane P). Problem 2. (8 points). Find a unit normal to the plane that contains the point (1, -2, 1) and the line 3+2t, y = 4t, z = 0.