  We have studied the Seebeck and Nernst coefficients of a weakly magnetized
hot QCD medium having a weak momentum anisotropy within the kinetic theory
approach. The thermal medium effects have been incorporated in the framework of
a quasi-particle model where the medium dependent mass of the quark has been
calculated using perturbative thermal QCD in the presence of a weak magnetic
field which leads to different masses for the left ($L$) and right ($R$) handed
chiral quark modes. We have found that the Seebeck and Nernst coefficient
magnitudes for the individual quark flavors as well as for the composite medium
are decreasing functions of temperature and decreasing functions of anisotropy
strength. The Nernst coefficient magnitudes are about an order of magnitude
smaller than their Seebeck counterparts, indicating the Seebeck effect
constitutes a stronger response than the Nernst effect. The average percentage
change corresponding to switching between quasiparticle modes ($L\to R$ or
$R\to L$) is an order of magnitude smaller for Nernst coefficients, compared to
the Seebeck coefficients.
