  A theory of spin manipulation of quasi-two-dimensional (2D) electrons by a
time-dependent gate voltage applied to a quantum well is developed. The
Dresselhaus and Rashba spin-orbit coupling mechanisms are shown to be rather
efficient for this purpose. The spin response to a perpendicular-to-plane
electric field is due to a deviation from the strict 2D limit and is controlled
by the ratios of the spin, cyclotron and confinement frequencies. The
dependence of this response on the magnetic field direction is indicative of
the strenghts of the competing spin-orbit coupling mechanisms.
