A door made up of a uniform piece of aluminum measures 2m by 1m and consists of a mass of 15 kg. It is supported through two hinges, one situated 0.1m from the bottom of the door and one situated 0.1m from the top of the door at the vertical edge of the door. Suppose that the vertical force each hinge applies is the similar and find out the force (in vector components) which each hinge applies on the door.