The traffic light shown in Figure 3 is supported by a system of cables. Points A and B are in a vertical plane which is parallel to x-z plane. Point C is in y-z plane. The traffic light has a mass of 75 kg. Determine the following:
(a). Position vectors for OA, OB and OC
(b). Write equilibrium equations in the x, y and z directions
(c). Find the tensions in cables OA, OB and OC