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list five elements and determine whether the set is a vector space: (verify the 10 axioms): V={(x,y,z) | z=3}. addition defined by (x1,y1,z1)+(x2,y2,z2) = (x1+x2,y1+y2,3) scalar multiplication defined by s(x,y,z)=(sx,sy,3)

Mathematics
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list the ten axioms and check. this just fixes z at 3, so it might as well be \[V=\mathbb R^2\]
yea im in the third axiom.. u+(v+w)
for example you can check that \[v_1+v_2=v_2+v_1\]

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Other answers:

and i dont know how to add them
ok \[u+(v+w)=(+)+\]
addition is given by \[(+)=\]
and then \[(+)+\] \[=+\] \[=\]
now do it the other way and see that you get the same thing. that is check that \[+(+)=\] as well
ohh,,, i was adding lol =+ =
stupid me... cool cool i get it

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