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We re-examine direct CP violation in the quasi-two-body $D\to V\!P$ decaysand study CP asymmetries in three-body $D$ decays proceeding throughintermediate vector resonances within the framework of the topologicalamplitude approach for tree amplitudes and the QCD factorization approach forpenguin amplitudes. Using the same mechanism of incorporating long-distancepenguin-exchange amplitude induced from final-state rescattering that nicelyaccounts for the CP asymmetry difference between $D^0\to K^+K^-$ and$\pi^+\pi^-$ modes, we find that CP asymmetry can also occur at the per millelevel in many of the $D\to V\!P$ channels or otherwise be negligibly small. Wepoint out six golden modes which have sufficiently large branching fractionsand direct CP violation of order $10^{-3}$. In particular, the direct CPasymmetry difference $\Delta a_{CP}^{V\!P}$ between $D^0\to K^+K^{*-}$ and$\pi^+\rho^-$ is predicted to be $(-1.61\pm0.33)\times 10^{-3}$, very similarto the counterpart in the $P\!P$ sector. Besides, we find a positive and largeCP asymmetry of order $10^{-3}$ in $D^0\to K_S K^{*0}$, an example of theasymmetry induced at the tree level. We take into account the flavor-singletQCD-penguin contributions to calculate their effects on the modes such as$D\to\pi\phi$ and $D\to \eta \phi$. We compare our results with the otherapproach in detail. For three-body $D$ decays, we perform the Dalitz plotanalysis of those decays mediated by several vector resonances with the samemass but different electric charges. Local CP asymmetry varies in magnitude andsign from region to region and can reach the percent level in certain localregions of phase space due to interference.

CP violation in quasi-two-body $D\to VP$ decays and three-body $D$ decays mediated by vector resonances