A 4.19-µC particle moves through a region of space where an electric field of magnitude 326 N/C points in the positive z direction, and a magnetic field of magnitude 0.0589 T points in the negative x direction. If the net force acting on the particle is 2.27 x 10-³ N in the negative z direction, find the magnitude and direction of the particle's velocity.

A 4.19-µC particle moves through a region of space where an electric field of magnitude 326 N/C points in the positive z direction, and a magnetic field of magnitude 0.0589 T points in the negative x direction. If the net force acting on the particle is 2.27 x 10-³ N in the negative z direction, find the magnitude and direction of the particle's velocity.