(a) Determine the equation of the plane that passes through the points (1, 2, –2), (–1, 1, –9) and (2, –2, –12). Find the perpendicular distance from the origin to this plane.

(b) Calculate the area of the triangle whose vertices are at the points (1, 1, 0), (1, 0, 1) and (0, 1, 1).