A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x direction experiences a force of 2.25𝑥10−16𝑁 in the +y direction and an electron moving at 4.75 km/s in the –z direction experiences a force of 8.50𝑥10−16𝑁 in the +y-direction. (a) What are the magnitude and direction of the magnetic field? (b) What are the magnitude and direction of the magnetic force on an electron moving in the –y direction at 3.20 km/s?