5. (40 points) Three long current carrying wires are situated as shown in the diagram. Here the magnitudes of current are I1 : 2 A, I2 : 1 A, and I3 2 3 A, and d : 10 cm. C! Figure 3: diagram of the problem a. (10 points) In the diagram above draw representative magnetic eld vectors associated with the wire carrying I1 and the wire carrying I3 near the wire carrying I2. What direction does the force on I2 due to [1 point? What direction does the force on 12 due to I3 point? b. (15 points) At what distance, {17, must we place the wire carrying [2 from I1 such that the net force exerted on I2 is zero? If no such situation is possible argue why that is the case. c. (15 points) At what distance, :5, must we place the wire carrying I2 from I1 such that the net force exerted on the wire carrying I3 is zero? If no such situation is possible argue why that is the case