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\begin{abstract}
We perform the first three-dimensional measurement of the amplitudes of
$B\rightarrow \psi(2S) K^*$ and $B\rightarrow \chi_{c1} K^*$ decays and update our
previous measurement for $B\rightarrow J/\psi K^*$.
We use a data sample collected with the BaBar detector at the PEP2
storage ring, corresponding to 232 million $B\bar B$ pairs.
The longitudinal polarization of decays involving a $J^{PC}=1^{++}$ $\chi_{c1}$
meson is found to be larger than that with a $1^{--}$ $J/\psi$ or $\psi(2S)$ meson.
No direct {\it CP}-violating charge asymmetry is observed.
\end{abstract}
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