We present the results of a study of the charmless vector-vector decay B+->rho K-+(*0), based on 253 fb(-1) of data collected with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider. We obtain the branching fraction B(B+->rho K-+(*0))=[8.9 +/- 1.7(stat)+/- 1.2(syst)]x10(-6). We also perform a helicity analysis of the rho and K-* vector mesons, and obtain the longitudinal polarization fraction f(L)(B+->rho K-+(*0))=0.43 +/- 0.11(stat)(-0.02)(+0.05)(syst).