Line A extends from (2,2, 0) to (-2, 2, 0) and Line B extends from (2, -2, 0) to (-2, -2, 0). Each has a linear charge density ?l = 1 nC / m. You want to calculate the magnitude and direction of the electric field due to the two line charges for all points on the z-axis. a.) Sketch the charge distribution, and set up the integrals you need in order to solve this problem. Indicate the vector R for each line charge on your plot, and determine expressions for R and R^3 b.) Prove that the magnitude of the electric field in the x and y directions is zero.