  We introduce a set of observables representing angular distribution
asymmetries, which can be viewed as a generalization of the forward-backward
asymmetry of angular distributions, and can be used as an effective tool to
search for $C\!P$ violation in three-body decays of bottom and charmed baryons.
We propose to search for such $C\!P$ asymmetries (1) in decays with
$\Lambda^0$, $\Sigma^\pm$, or $\Lambda_c^+$ involved, such as $\Lambda_b\to
\Lambda^0 D$ and $\Lambda_b\to\Lambda^0\rho(770)^0$; and (2) in three-body
decays of bottom baryons with opposite parity intermediate resonances involved.
Typical examples include $\Xi_b^-\to p K^- K^-$, $\Lambda_b^0\to p K_S\pi^-$
and $\Lambda_b^0\to p \pi^0\pi^-$, in which the last decay channel is used as a
toy model to illustrate of the basic idea.
