  This article discusses the construction of dual frames and their uniqueness
for the multiplication generated frames on $L^2(X; \mathcal H)$, where $X$ is a
$\sigma$-finite measure. A necessary and sufficient condition of such duals
associated to infimum cosine angle is obtained. The result is illustrated for
the translation-generated systems on a locally compact group (not necessarily
abelian ) by action of its abelian subgroup.
