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# Vector Space - axioms Watch

1. I have this question, which I'm really stuck on...

Now, is this a case of using the eight axioms to show this?

I know this sounds a stupid question, as I'm almost sure it is, but my lecturer is one for throwing us something that looks right, up until the end when you realise you've been chasing a dead end

I should add, the reason I'm not sure, is I cannot find anything in my notes about defining addition or scalar multiplication in these manners, and so wouldn't know where to start...

Any help would be appreciated
2. (Original post by ekudamram)
...
Yes, all you need to do is run through the axioms.

Here's commutivity of addition as an example.

by definition of vector addition in Q

Since multiplication in is commutative.

and again by definition of vector addition in Q.

And now you've shown commutivity in your vector space.

Edit: Seems that what your lecturer is trying to do here is to get you to appreciate the difference between the vector space axioms, and how vectors are represented.

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