  Measurements of the polarization of the final proton in elastic e-p
scattering drastically changed our knowledge about the electromagnetic form
factors of the proton. Here we present our results of the calculation of the
polarization of the final nucleon in charged current quasi-elastic neutrino
nucleon scattering. Relations which connect the axial form factor with the
polarization, the cross section and the electromagnetic form factors of the
nucleon are derived. Measurements of the polarization of the nucleon in the
high-statistics short baseline neutrino experiments (or in near detectors of
long baseline experiments) could provide important information on the axial
form factor of the nucleon.
