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Vectors,Norms and assumptions


Hello,
I have a question in mathematica (actually 3).

1. Let v be v={av1,av2} , then Norm[v]=Sqrt[Abs[av1]^2 + Abs[av2]^2]
Q: How do indicate to mathematica that av1 and av2 belong to reals?

2. On a similar note, i have
n={an1,an2}
a={aa1,aa2}
(*an1,an2,aa1,aa2 are all reals*)
x=Norm[y(n-a)]
>> Sqrt[Abs[(-aa1 + an1) y]^2 + Abs[(-aa2 + an2) y]^2]

Once again, how do i indicate that y ,an1,an2,aa1,aa2 are reals?

Thank you for your time and help.
Rgds
Bveo



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