  The light front wavefunction obtained from anti-de Sitter Quantum
Chromodynamics is used to calculate the light cone distribution amplitudes for
$\rho$ and $K^*$ vector mesons. These distribution amplitudes are then utilized
to calculate the $B \to \rho ,\; K^*$ transition form factors via light cone
sum rules. Two-parameter fits of our results for low to intermediate momentum
transfer $q^2$ that includes the QCD lattice data at high $q^2$ are presented.
Consequently, we give predictions for the semileptoic $B \to \rho \ell \nu$ and
dileptonic $B \to K^* \mu^+ \mu^-$ decays.
