The question:

Prove that the following properties are true for every vector space.

a) 2v=v+v

b)nv=v+ ... +v, where there arenterms on the right

My attempt:

a) Letvbe an element of vector space .

2v= =

v + v = + =

Therefore 2v=v+v

Is this correct, or am I approaching this the wrong way? Thanks!