Find the shortest distance between point P=(5,3,-2) and the plane 2x+2y-z=(-4) A.) What is the plane's normal vector N? B.) Find any point, Q, in the plane and the correspinding vector PQ=V C.) Find...

Find the shortest distance between point P=(5,3,-2) and the plane 2x+2y-z=(-4) A.) What is the plane's normal vector N? B.) Find any point, Q, in the plane and the correspinding vector PQ=V C.) Find the scalar projection of V onto N. This is the distance we are looking for. D. ) Use the information in parts A and C to find the point in the plane that is closest to P= (5,3,-2). Clearly show how the result is calcuated using the earlier information.