Editing Ordered field (section)

===Vector spaces over an ordered field===
[[Vector space]]s (particularly, [[Examples of vector spaces#Coordinate space|''n''-spaces]]) over an ordered field exhibit some special properties and have some specific structures, namely: [[orientation (vector space)|orientation]], [[convex analysis|convexity]], and [[inner product space|positively-definite inner product]]. See [[Real coordinate space#Geometric properties and uses]] for discussion of those properties of '''R'''<sup>''n''</sup>, which can be generalized to vector spaces over other ordered fields.