Vector hysteresis models present an input vector and an output one. In electromagnetics the vectors may be the magnetic induction, the magnetic field, or the magnetization vectors. The starting point for the scalar superposition approach considers that, when a vector model is applied in a single direction, it is equivalent to a scalar model. If feasible, one can predict a vector hysteresis behavior by superposing several scalar models acting in different directions. For applications where the magnetic field is parallel to the induction, scalar models can be applied with good precision. However, in some situations, a vector relation-ship between the magnetic field and the magnetic induction is necessary to achieve an accurate evaluation of rotating flux and magnetic losses. The chapter concludes that the inverse Jiles-Atherton vector hysteresis model produces results having a very good agreement with experiments.