Vector Art

I'm not like a total newb at graphic art. But what is vectort art? How do i create it? All i know is that illustrator is used for vector art. But i wana know what it actually is. I've seen some examples of vector art and i wana learn it

 

http://www.deviantart.com/view/33165316/

my newest vector.

 

You should have post your tut ^_^

http://www.deviantart.com/deviation/30517486/

I've learned a lot from it