  The helicity density matrix elements rho[00] of rho(770)+- and omega(782)
mesons produced in Z decays have been measured using the OPAL detector at LEP.
Over the measured meson energy range, the values are compatible with 1/3,
corresponding to a statistical mix of helicity -1, 0 and +1 states. For the
highest accessible scaled energy range 0.3 < x_E < 0.6, the measured rho[00]
values of the rho(770)+- and the omega are 0.373 +- 0.052 and 0.142 +- 0.114,
respectively. These results are compared to measurements of other vector
mesons.
