The 50-lb hood of an automobile is supported by a strut that exerts a force along its axis. Assume that the x-axis is the hinge axis. Assume that the hood is rectangular in shape and made of a homogeneous material. Calculate the magnitude of force F in the strut. Also calculate the net reaction force components due to the hinge(s) in the x, y, and z directions. Assume the coordinates of A are (0,0,4) and B are (2,4,2).