Three long wires (wire 1, wire 2, and wire 3) hang vertically. The distance between wire 1 and wire 2 is 20.0 cm. On the left, wire 1 carries an upward current of 1.00 A. To the right, wire 2 carries a downward current of 4.20 A. Wire 3 is located such that when it carries a certain current, each wire experiences no net force. Find the following:
(a) the position of wire 3 in cm?
(b) the magnitude and direction of the current in wire 3.