  Coherent electroproduction of vector mesons off $^2$H and $^4$He is
considered in the kinematics of deep inelastic scattering. Special emphasis is
given to the $-t\sim 0.8-1$ GeV$^2$ region where the cross section is dominated
by the interaction of the $q\bar q$ configuration in the $\gamma^*$ with two
nucleons. These kinematics provide the unique possibilities to study
quantitatively in vector meson production the onset of Color Transparency with
increasing $Q^2$ as well as its gradual disappearance at very small $x$, i.e.,
perturbative Color Opacity.
