Given the parallel vector of a plane and two points passing through the plane, how to solve the plane equation

Given the parallel vector of a plane and two points passing through the plane, how to solve the plane equation

Through the plane equation that the origin is perpendicular to the point (6, - 3,2) and the plane 4x-y + 2z-8 = 0, we can set ax + by + CZ = 0, then substitute 6a-3b + 2C = 0 through (6, - 3,2). In addition, since the origin is perpendicular to the plane 4x-y + 2z-8 = 0, the normal vectors of the two planes are also perpendicular