A particle with charge q is at the origin and is given an initial velocity v→ = vox^ . The magnetic field in the origin is B→ = Boz^ and the electric field is E→ = Eoy^. Determine the path of the particle (that is, find its position as a function of time, and interpret the results). Begin by showing that the path lies in a single plane. Determine the center and radius of any circles. Do not make assumptions about the value of vo .