Uniform current sheets are located in free space as follows: 8a_z A/m at y = 0, −4a_z A/m at y = 1, and −4a_z A/m at y = −1. Find the vector force per meter length exerted on a current filament carrying 7 mA in the a_L direction if the filament is located at

(a) x = 0, y = 0.5, and a_L = a_z;

(b) y = 0.5, z = 0, and a_L = a_x;

(c) x = 0, y = 1.5, and a_L = a_z.