  In this note, we introduce a notion of multi-parameter formal deformations of
ternary hom-Nambu-Lie algebras. Within this framework, we construct formal
deformations of the three-dimensional Jacobian determinant and of the
cross-product in four-dimensional Euclidean space. We also conclude that the
previously defined ternary q-Virasoro-Witt algebra is a formal deformation of
the ternary Virasoro-Witt algebra.
