  In this work, we generalise the spontaneous scalarization phenomena in
Einstein-Maxwell-Scalar models to a higher spin field. The result is an
Einstein-Maxwell-Vector model wherein a vector field is non-minimally coupled
to the Maxwell invariant by an exponential coupling function. We show that the
latter guarantees the circumvention of an associated no-hair theorem when the
vector field has the form of an electric field. Different than its scalar
counterpart, the new spontaneously vectorized Reissner-Nordstr\"om (RN) black
holes are, always, undercharged while being entropically preferable. The
solution profile and domain of existence are presented and analysed.
