I was wondering, some of the things that define a Linear Space such as:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]v \in V[/tex] then [tex]1v = v[/tex] or [tex]\vec{0} \in V[/tex] such that [tex]\vec{0} + v = v[/tex]

They seem very obvious and intuitive, but, is there ever a time they break down in the Real plane? I think they might break down in the complex plane, but, I'm not too sure how they would.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Space

**Physics Forums | Science Articles, Homework Help, Discussion**