  We study the influence of spin-orbit interaction on electron-electron
scattering in the Coulomb drag setup. We study a setup made of a
time-reversal-symmetry broken Weyl-semimetal (WSM) layer and a normal metal
layer. The interlayer drag force consists of two components. The first one is
conventional and it is parallel to the relative electronic boost velocity
between the layers. This part of the drag tends to equilibrate the momentum
distribution in the two layers, analogous to shear viscosity in hydrodynamics.
In the WSM layer, the shift of the Fermi surface is not parallel to the
electric field, due to skew scattering in the WSM. This induces a Hall current
in the normal metal via the conventional component of the drag force. The
second component of the drag force is perpendicular to the boost velocity in
the Weyl semimetal and arises from interlayer e-e skew scattering, which
results from two types of processes. The first process is an interference
between electron-electron and electron-disorder scattering. The second process
is due to the side jumps in electron-electron collisions in an external
electric field. Both the parallel and perpendicular components of the drag are
important for the anomalous Hall drag conductivity. On the other hand, for the
Hall drag resistivity, the contribution from the parallel friction is partially
cancelled in a broad temperature regime. This work provides insight into the
microscopic mechanisms of Hall-like friction in electronic fluids.
