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We analyze the charge and spin dynamics in a double quantum dot driven by crossed DC and AC magnetic fields. The AC field produces coherent electron spin rotations within each quantum dot. In a double quantum dot, these oscillations compete with coherent inter-dot tunneling, giving rise to a complicated time dependent behavior. We present some simple cases which can be treated analytically and describe the electron dynamics as a function of the AC frequency in resonant and non-resonant conditions. In fact, for different Zeeman splittings, just one electron is in resonance with the AC magnetic field. Our results show that the electron dynamics depends also on the off resonant electron.