We discuss the consequence of global polarization of the produced quarks in non-central heavy-ion collisions on the spin alignment of vector mesons. We show that the alignment is quite different for different hadronization scenarios. These results can be tested directly by measuring the vector mesons' alignment through angular distributions of the decay products with respect to the reaction plane. Such angular distributions will give rise to azimuthal anisotropy v2 of the decay products in the collision frame. Constraints provided by the data on the azimuthal anisotropy of hadron spectra at RHIC points to a quark recombination scenario of hadronization.PACS numbers: 13.88.+e, 12.38.Mh, 25.75.Nq Due to the presence of a large orbital angular momentum of the parton system produced at the early stage of non-central heavy-ion collisions, quarks and anti-quarks are shown recently [1] to be polarized in the direction opposite to the reaction plan which is determined by the vector of impactparameter and the beam momentum. Such global quark polarization should have many observable consequences such as left-right (with respect to the quarks' spin polarization) asymmetry in hadron spectra at large rapidity, global polarization of thermal photons, dileptons and final hadrons with spin. The left-right asymmetry of hadrons from the hadronization of such globally polarized quarks effectively gives rise to a "directed flow". However, it is difficult to disentangle it from the true directed flow due to interaction between produced matter and the spectator nucleons. Global hyperon polarization from the hadronization of polarized quarks are predicted [1] independently of the hadronization scenarios. Measurements of such global hyperon polarization are made possible by the self-analyzing power of the hyperon's parity-violating decay [2], which produces an angular distribution, dN/d cos θ = 1 + αP H cos θ, for its decay products with respect to the polarization direction. Here, α is a constant (e.g., α = 0.642 for Λ → pπ − ) and P H is the hyperon's polarization. In practice, one needs to know not only the orientation but also the sign (or direction) of the reaction plane which can only be determined by the directed flow in each event class. If one sums over events with opposite reaction planes, the effect of the hyperon's polarization on the angular distribution of its decay products will cancel. While such measurements are underway, other consequences can and should be studied.In this note, we discuss the spin alignment of vector mesons due to the global quark polarization in non-central A + A collisions. Similarly as in Ref.[1], we consider two colliding nuclei with the projectile of beam momentum p moving in the direction of the z axis. The impact parameter b is taken as alongx, which is the transverse distance of the projectile from the target nucleus. The norm of the reaction plane is given by n b ≡ p × b/| p × b| and is alongŷ. For a non-central collision, the dense matter produced in the overlapped region of the collisi...