Using 9.1 fb-1 of e+e- data collected at the Upsilon(4S) with the CLEO detector using the Cornell Electron Storage Ring, measurements are reported for both the branching fractions and the helicity amplitudes for the decays B--->D*0rho- and B0-->D*+rho-. The fraction of longitudinal polarization in B0-->D*+rho - is found to be consistent with that in B0-- >D*+l-nu- at q2=M 2 rho, indicating that the factorization approximation works well. The longitudinal polarization in the B- mode is similar. The measurements also show evidence of nontrivial final-state interaction phases for the helicity amplitudes.
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