A charge of -2.7 µC is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass, which has a radius of 0.099 m. The charges on the circle are -3.9 µC at the position due north and +5.10 µC at the position due east. What are the magnitude and direction of the net electrostatic force acting on the charge at the center? Specify the direction relative to due east.
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