  We study the production of vector resonances at the LHC via $WZ$ scattering
processes and explore the sensitivities to these resonances for the expected
future LHC luminosities. The electroweak chiral Lagrangian and the Inverse
Amplitude Method (IAM) are used for analyzing a dynamically generated vector
resonance, whose origin would be the (hypothetically strong) self interactions
of the longitudinal gauge bosons, $W_L$ and $Z_L$. We implement the unitarized
scattering amplitudes into a single model, the IAM-MC, that has been adapted to
MadGraph~5. It is written in terms of the electroweak chiral Lagrangian and an
additional effective Proca Lagrangian for the vector resonances, so that it
reproduces the resonant behavior of the IAM and allows us to perform a
realistic study of signal versus background at the LHC. We focus on the $pp\to
WZjj$ channel, discussing first on the potential of the hadronic and
semileptonic channels of the final $WZ$, and next exploring in more detail the
clearest signals. These are provided by the leptonic decays of the gauge
bosons, leading to a final state with $l^+_1l^-_1l^+_2\nu jj$, $l=e,\mu$,
having a very distinctive signature, and showing clearly the emergence of the
resonances with masses in the range of $1.5$-$2.5\,{\rm TeV}$, which we have
explored.
