Vector equation of the plane with the point and normal vector is .

The plane through the point and parallel through the plane .

and .

The equation for a plane requires a point that lies on the plane and a vector that is normal

which is perpendicular to the plane.

The point on the plane is .

Find the normal vector.

Since the plane is parallel to another plane with equation , it has the same normal vector as the other plane.

.

Substitute above values in the vector equation.

.

Rewrite the equation suct that are on the R.H.S of the equation.

.

The equation of the plane is .