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To Cartesian components of the vector, it seems you need an r component of the vector in spherical coordinates. Since Y110 only has a phi component, does this mean that the Y110 spherical harmonic is a vector of length zero in cartesian coordinates? If so, why is there even a magnitude in the phi component of the vector? And if so, is Y110 only useful if combined with other vector spherical harmonics?

Thanks in advance.