Problem 2 Three-Dimenaional Extension):A stoplight is hung between three poles scattered around an intersection. The tops of the poles are located at the points (1,1,9),(-1,1,8), and (1,-1,10). The stoplifte lies at the point (x,y,6), where -1x1 and xy1. Assume the ropes are taught at any stoplight location (x,y,6). At what coordinute (x,y,6) wil the tenslon magnitudes in each rope be equal (up to a reasonably small error) if the stoplight weighs 200N?