1. Let A = (1, 2, 2), B = (0, 3, 3), and C = (2, 1, c), where c is a real-valued constant. (a) (5 points) Determine the area of triangle ABC for any c. (Your answer will contain c.) (b) (3 points) For c = 6, find the parametric equations of the line passing through C and perpendic ular to the triangle ABC