Aparticle of charge q and mass m has a trajectory described by the position r(t). it is moving in the presence of an electric field e(t, 2) and a magnetic field b(t, 2). a) write the equation of motion (i. e. second order time differential equation governing the particle position r( you must make the proper substitution for x in e(t, x) and b(t, ). (we say in words, "specify explicitly the argument for electric and magnetic fields.") b) write the equation of part a) in index notation (i. e. equation for components in cartesian coordinates). you may need to use the levi-civita symbol