The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.74 μC, x1 = 5.02 cm, y1 = 0.712 cm and q2 = -3.79 μC, x2 = -2.30 cm, y2 = 1.88 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 5.46 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?
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