We use Landau's theory of a normal Fermi liquid to derive expressions for the
static response of a system with a general tensor interaction that conserves
the total spin and the total angular momentum of the quasiparticle-quasihole
pair. The magnetic susceptibility is calculated in detail, with the inclusion
of the center of mass tensor and cross vector terms in addition to the exchange
tensor one. We also introduce a new parametrization of the tensor Landau
parameters which significantly reduces the importance of high angular harmonic
contributions. For nuclear matter and neutron matter we find that the two most
important effects of the tensor interaction are to give a contribution from
multipair states and to renormalize the magnetic moments. Response to a weak
probe may be calculated using similar methods, replacing the magnetic moments
with the matrix elements of the weak charges