Three points are given in Cartesian coordinates: P1(1, 1, 1), P2(1, 1,0), and P3(0, 1, 1).
(a) Find the points P1, P2, and P3 in cylindrical and spherical coordinates.
(b) Find the equation of a plane through these three points in Cartesian coordinates.
(c) Find the equation of the plane in cylindrical coordinates.
(d) Find the equation of the plane in spherical coordinates.