duality and the propagation of waves

the propagation direction \(\vec{k}\), the electric field \(\vec{E}\) and the magnetic field \(\vec{B}\) of an electromagnetic wave form a right-handed system: is the same true if one applies duality, i.e. if one interchanges \(\vec{E}\rightarrow \vec{B}\) and \(\vec{B}\rightarrow -\vec{E}\)?