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**A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields, E and B, both pointing in the z direction. The net force on the particle is F=q(E+v x B)*. Write down the equation of motion for the particle and resolve it into its 3 components. Solve the equations and describe the particles motion.**

Since there are both electric and magnetic fields, should I consider the motion with respect to each individually?

Considering the Electric field, the trajectory is a straight line along z, since its parallel to E, and a parabola along x,y? Yes?

The Magnetic field will have a force perpendicular to both v and B right?

Now, how does one put the two together?

*Is v (cross) B, x is cross product not a variable.