(20 points) 2) Assume that the Lagrangian of a particle of mass m and electric charge q in static EM fields described by the scalar-potential @ and the vector- potential A is given: (atnigg OE) BAB L(xi , Xi ) = - m XI 2 - q p ( x ; ) + q x Al (xi) bro ' nabiantodbabiyoga d) Prove that, under a gauge transformation of both the scalar and vector potentials, the Lagrangian described above leads to the same equations of motion. (30) paints)