  We continue our investigation of the response tensors in planar Hall (or
planar thermal Hall) configurations where a three-dimensional Weyl/multi-Weyl
semimetal is subjected to the combined influence of an electric field $\mathbf
E $ (or temperature gradient $\nabla_{\mathbf r } T$) and an effective magnetic
field $\mathbf B_\chi $, generalizing the considerations of Phys. Rev. B 108
(2023) 155132 and Physica E 159 (2024) 115914. The electromagnetic fields are
oriented at a generic angle with respect to each other, thus leading to the
possibility of having a collinear component, which does not arise in a Hall
set-up. The net effective magnetic field $\mathbf B_\chi $ consists of two
parts - (a) an actual/physical magnetic field $\mathbf B $ applied externally;
and (b) an emergent magnetic field $\mathbf B_5 $ which quantifies the elastic
deformations of the sample. $\mathbf B_5 $ is an axial pseudomagnetic field
because it couples to conjugate nodal points with opposite chiralities with
opposite signs. Using a semiclassical Boltzmann formalism, we derive the
generic expressions for the response tensors, including the effects of the
Berry curvature (BC) and the orbital magnetic moment (OMM), which arise due to
a nontrivial topology of the bandstructures. We elucidate the interplay of the
BC-only and the OMM-dependent parts in the longitudinal and transverse (or
Hall) components of the electric, thermal, and thermoelectric response tensors.
Especially, for the planar transverse components of the response tensors, the
OMM part acts exclusively in opposition (sync) with the BC-only part for the
Weyl (multi-Weyl) semimetals.
