I had this question in my book asking me to show these things in detail, but it seems easy yet i dont understand why teacher said it was a little difficult:(adsbygoogle = window.adsbygoogle || []).push({});

1) Prove that R^2(with the rules of addition and scalar multiplication) is a vector space and find (zero vector)?

2)Deduce from the rules of addition and scalar multiplication that

0v=0(vector) for all v in V and (-1)v=-v? (v is a vector)

3) Show that a vector space U has another just 1 element or infinitely many.

I just need to see what you guys comment on this, as to me it seems like i just simply have to rewrite the rules and thats pretty much it, but again i dont think thats what its asking for, i just dont understand i guess.

**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!

# Vector Spaces

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