Hi need some help with assignment questions. Thanks

(a) Find a Cartesian equation that represents the plane through
the point P(3,0,1) which is parallel to the vectors with Cartesian
coordinates (0,3,2) and (−1,−1,3).

(b) Find a parametric vector equation that represents the plane
described by the Cartesian equation x−2y + 2z = 6.

(c) Find a parametric vector equation that describes the line
that passes through the point Q(2,−1,2) and whose direction vector
is perpendicular to the plane described by the Cartesian equation x
+ 2y + 3z = 22.

(d) Find the point in the plane described by the Cartesian
equation x+2y+3z = 22 that is closest to the point Q(2,−1,2).