We explore the decays of B -> V1V2 (V-1,V-2 = (rho, omega, K*, phi) and B = (B-0, B+, B-s)) with transverse polarizations. We explicitly evaluate the eigenstates of T-odd scalar operators involving spins for the first time, which offer physical insight among the T violating observables. Based on the helicity suppression of tree operators for transverse polarizations in the standard model (SM), we deduce that Delta phi(p) = Delta phi(parallel to) - Delta phi(perpendicular to) = 0 with phi(perpendicular to parallel to), the weak phases of the transverse amplitudes. In contrast, the experiments show that Delta phi(p)(B-0 -> K-*0 omega) = -0.84 +/- 0.54, which could be a signal of new physics. There is also a discrepancy between our result in the SM and the experimental data for the transverse polarized branching ratio in B-0 -> K-*0 omega. In addition, by counting the helicity flips, we argue that sin(phi(parallel to) - phi(perpendicular to)) approximate to 0, which meets well with most of the experiments except for the ones with B-0 -> K-*0 omega, where phi(parallel to,perpendicular to) are the strong phases in the transverse amplitudes. (C) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.