Rare B meson decays are of interest because they provide an opportunity to measure the angles alpha and gamma of the unitarity triangle and to search for physics beyond the Standard Model. The vector-vector decays are of special interest because their angular distributions reflect strong and weak interaction dynamics. Particular vector-vector decays have special features. The penguin decays B->phi+K* and B->rho+K* are good places to look for new physics and direct CP violation. The B->rho+rho decays may have advantages over pi+pi for measuring alpha as a consequence of smaller penguin contributions. We will present the experimental study of these decays and prospects for direct and time-dependent CP violation measurements with rare B decays on BABAR.