Problem 1.6 Spherical unit vectors Show that the unit vectors in spherical coordinates are given by sin(1'}) cos(go) 3, = sin(1'})sin(S0) ' cosh?) sin(go) an: cos(go) , 0 cos(19) cos(g0) 19 = cos(t9) sin(99) sin(z?) Problem 1.8 3d motion in magnetic eld Consider a particle of charge q in a magnetic eld E which depends neither on time nor on 77. Its initial velocity has both components parallel and perpendicular to B. Discuss the motion of this particle