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> 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