[20 points] Given points A(1,0,-1), B(1, 1, -2), and C(0,3, -2).
(a) Find the parametric equations of the line passing B and C.
(b) Find the general equation of the plane passing A, B, and C.
(c) What is the point of intersection of the plane in part (b) with the z-axis?
(d) The area of triangle ABC.