A door has a height of 2.1 m along a y axis that extends vertically upward and a width of 0.975 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.47 m from the top and a hinge 0.47 m from the bottom each support half the door's mass, which is 29 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge