Let be a plane which passes through the point and is parallel to the plane given by the equation . Find the Cartesian equation of . Further, find the distance between the two planes.

Let denote the plane given by the equation . Since and are parallel, we know they share a common normal vector. Therefore, the Cartesian equation of is of the form

Since is on , we have

Hence, the Cartesian equation of is

The distance between and is then