A door is pushed on by two forces, a smaller (tilted) force at the door knob and a larger force nearer the hinge as shown. The door does not move.
The force exerted on the door by the hinge....
PINK: is zero
YELLOW: points (along +y)
GREEN: points ¯ (along -y)
BLUE: points (lower right, in diagram)
PURPLE : points in some other direction
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