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Final state quark-antiquark interactions give origin to non zero values ofthe off-diagonal element rho_{1,-1} of the helicity density matrix of vectormesons produced in e+e- annihilations, as confirmed by recent OPAL data on Phi,D^* and K^*'s. New predictions are given for rho_{1,-1} of several mesonsproduced at large x_E and small p_T -- i.e. collinear with the parent jet -- inthe annihilation of polarized e+ and e-; the results depend strongly on theelementary dynamics and allow further non trivial tests of the Standard Model.Comment: LaTeX, 20 pages, 6 ps figures, uses epsfig.st

Off-diagonal helicity density matrix elements for vector mesons produced in polarized