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The $B \to \pi$ and $B \to K$ transitions involved in hadronic B decays areinvestigated in a phenomenological way through the framework of QCDfactorization. By comparing our results with experimental branching ratios fromthe BELLE, BABAR and CLEO Collaborations for all the B decays including eithera pion or a kaon, we propose boundaries for the transition form factors $B \to\pi$ and $B \to K$ depending on the CKM matrix element parameters $\rho$ and$\eta$. From this analysis, the form factors required to reproduce theexperimental data for branching ratios are $F^{B \to \pi}= 0.31 \pm 0.12$ and$F^{B \to K}= 0.37\pm 0.13$. We calculate the direct CP violating asymmetryparameter, $a_{CP}$, for $B \to \pi^{+} \pi^{-} \pi$ and $B \to \pi^{+} \pi^{-}K$ decays, in the case where $\rho-\omega$ mixing effects are taken intoaccount. Based on these results, we find that the direct CP asymmetry for$B^{-} \to \pi^{+} \pi^{-} \pi^{-}$, $\bar{B}^{0} \to \pi^{+} \pi^{-} \pi^{0}$,$B^{-} \to \pi^{+} \pi^{-} K^{-}$, and $\bar{B}^{0} \to \pi^{+} \pi^{-}\bar{K}^{0}$, reaches its maximum when the invariant mass $\pi^{+} \pi^{-}$ isin the vicinity of the $\omega$ meson mass. The inclusion of $\rho-\omega$mixing provides an opportunity to erase, without ambiguity, the phaseuncertainty mod$(\pi)$ in the determination of the CKM angles $\alpha$ in caseof $b\to u$ and $\gamma$ in case of $b \to s$.Comment: 74 pages, 15 figures, 8 tables. A few misprints corrected, two  references adde

DirectCPviolation, branching ratios and form factorsB→ π,B→KinBdecays