Can you please solve both? Thx

Problem 1. (12 points) A line ( has direction vector U = (s, 1,3) = si + 3 + 3k and goes through the point fo = (1, 1, -3) = 7+ 3 - 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 z = 3 + 2t, y = 4t, z = 0