  We study the cosmological dynamics of dark energy in a scalar-vector-torsion
theory. The vector field is described by the cosmic triad and the scalar field
is of the quintessence type with non-minimal coupling to gravity. The coupling
to gravity is introduced through the interaction between the scalar field and
torsion, where torsion is defined in the context of teleparallel gravity. We
derive the full set of field equations for the
Friedmann-Lema\^{i}tre-Robertson-Walker space-time background and obtain the
associated autonomous system. We obtain the critical points and their stability
conditions, along with the cosmological properties of them. Thus, we show that
the thermal history of the universe is successfully reproduced. Furthermore,
new scaling solutions in which the scalar and vector field densities scale in
the same way as the radiation and matter background fluids have been found.
Finally, we also show that there exist new attractor fixed points whose nature
is mainly vectorial, and which can explain the current accelerated expansion
and therefore the dark energy-domination.
