Could you give me an example of a function that satisfies scalar multiplication but not addition? more specifically, F: R[tex]^2[/tex] -> R such that F(av)=a F(v) but F(v1 + v2) != F(v1) + F(v2) The best thing I could come up with is F(x,y)= |x| . This obviously does not satisfy additivity, but satisfies sc. mul. for only a => 0. Help please.