#Contents# * table of contents {:toc} ## Definition ## Given a [[sequentially Cauchy complete Archimedean ordered field]] $\mathbb{R}$, an __real vector space__ is a $\mathbb{R}$-[[bimodule]]. ## See also ## * [[sequentially Cauchy complete Archimedean ordered field]] * [[real Clifford algebra]] * [[real geometric algebra]] * [[partial derivative]] * [[directional derivative]]