Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces

Question:

Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O, and has magnitude FR. Also, what is the magnitude of force F3?

Given:
F1 = 500 N
F2 = 400 N
FR = 1000 N
a = 1 m
b = 2 m
c = 2 m
d = 3 m


B A

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