> As usual, the Omniscient Wikipedia does a pretty good job of giving the standard mathematical definition of a "vector":
>
> http://en.wikipedia.org/wiki/Vector_space#Definition
>
> If the thing fulfills the axioms, it's a vector. Complex numbers do, as well as scalars.
It is a bit more complicated, unfortunately. cf:
http://en.wikipedia.org/wiki/Complex_number#The_complex_plane
http://en.wikipedia.org/wiki/Complex_number#Real_vector_space
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