Definition
Let F denote an arbitrary field (such as the real numbers R or the complex numbers C). For any positive integer n, the space of all n-tuples of elements of F forms an n-dimensional vector space over F called coordinate space and denoted Fn.
An element of Fn is written
where each xi is an element of F. The operations on Fn are defined by
The zero vector is given by
and the additive inverse of the vector x is given by
Read more about this topic: Coordinate Space
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