i) 2 Dimensions

(1,0,0,0) * 8 = (8,0,0,0)

(1,0,0,0) * 15=(15,0,0,0)

ii) 1 Dimension because I have one vector only? Abb (N,R) means f:N-->R

iii) Dont know. How do I start here? I have modulo 3, but thats all. How do I find out the dimension here?

iv) 2 Dimensions

(1,1,0) + (0,0,1) = (1,1,1)