Let Π be the plane containing the linex= 1 + 2t, y=−1 + 3t, z= 4 +t and parallel to the vector〈0,2,1〉.
(1) Find the equation of the plane Π.
(2) Find the equation of the plane Π1 that is parallel to Π and passes through (2,2,2).
(3) Find the distance between Π and Π1.
