A plane  is determined by a point P in the plane and a normal vector n perpendicular  to the plane. Since each vector in the plane must be orthogonal to the normal vector n. Equations is called a vector equation of the plane.

Vector equation of a plane. a plane may be characterized by a point contained in the plane and a vector that is perpendicular, or normal, to the plane. Therefore equation plane also called cartesian equation.

 

vector hl

Plane