  We investigate the helicity properties of the ejectile in quasi-elastic
neutrino-induced nucleon-knockout reactions and consider the 12C target as a
test case. A formalism based on a relativistic mean-field model is adopted. The
influence of final-state interactions is evaluated within a relativistic
multiple-scattering Glauber approximation (RMSGA) model. Our calculations
reveal that the helicity asymmetries A_l in A(\overline{\nu},\overline{\nu}'N)
processes are extremely sensitive to strange-quark contributions to the weak
vector form-factors. Thereby, nuclear corrections, such as final-state
interactions and off-shell ambiguities in the electroweak current operators,
are observed to be of marginal importance. This facilitates extracting
strange-quark information from the helicity asymmetry A_l.
