Editing Number line (section)

===As a vector space===
[[File:Bijection between vectors and points on number line.svg|thumb|The bijection between points on the real line and vectors]]

The real line is a [[vector space]] over the [[field (mathematics)|field]] {{math|'''R'''}} of real numbers (that is, over itself) of [[dimension]] {{Num|1}}. It has the usual multiplication as an [[inner product]], making it a [[Euclidean vector space]]. The [[Norm (mathematics)|norm]] defined by this inner product is simply the [[absolute value]].