We study the scattering of normally incident waves by core-shell nanowires, which support both electric and magnetic resonances. Within such nanowires, for p-polarized incident waves, each electric resonance corresponds to two degernerate scattering channels while the magnetic resonance corresponds to only one channel. Consequently when the electric dipole and magnetic dipole are tuned to overlap spectrally, the magnitude of the electric dipole is twice that of the magnetic one, leading to a

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... r of angles of vanishing scattering. We further demonstrate that the scattering features of nanowires are polarization dependent, and vanishing scattering angles can also be induced by Fano resonances due to the interference of higher order electric modes with the broad magnetic dipole mode. c