V={ (a1,a2) : a1,a2 elements in R}

For (a1,a2),(b1,b2) elements of V & c element of R

Define:

(a1,a2)+(b1,b2)=(a1+b1,a2+3b2)

c(a1,a2)=(ca1,ca2)

Is V a vector space over R with these operations?(justify)

I would really appreciate it if someone could give me an explanation about how im supposed to approach a problem like this.

Thanks in advance.