Vectors and geometry

Let $A = (1, 0, 1)$, $B = (2, 1, 0)$, $C = (0, 2, 2)$. (a) Find the area of triangle $ABC$. (b) Find the equation of the plane $\Pi$ through $A, B, C$. (c) Find the distance from $P = (3, 3, 3)$ to $\Pi$, and the foot of the perpendicular from $P$.