  It is shown that the dominant decay mode of $\vec\omega \to \pi^+ \pi^-
\pi^0$ can be employed to determine the Fano statistical tensor $t^2_0$ of
$\vec \omega$ with respect to the quantization axis normal to the decay plane.
In $pp \to pp \vec \omega$ one can choose decay planes with different
orientations for a given $\omega$ direction, $\theta$. By choosing three
different experimentally convenient orientations of the decay planes for the
same $\theta$, one may determine empirically the $t^2_0$ and $t^2_{\pm 2}$
characterising the tensor polarization of $\omega$ in the Transverse Frame for
$pp \to pp \vec \omega$.
