I'm reading through a multivariable calculus book and it starts off with some linear algebra. It defines vector addition as V [itex]\times[/itex] V [itex]\rightarrow[/itex] V. My text describes V as a set and describes the above process as a mapping. I believe the [itex]\times[/itex] may represent a Cartesian product. Could someone fill me in on how such an operation could define vector addition?(adsbygoogle = window.adsbygoogle || []).push({});

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# Definition of vector addition, Cartesian product?

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