only the answers: Determine if the function defines an inner product on R³, where u = (u₁,u₂,u₃) and V=(v₁,v₂,v₃) (Select all that apply.)
(u,v)= ( u₁²v₁²+u₂²v₂²+u₃²v₃²)
a) satisfies (u,v)=(v,u)
b) does not satisfy (u, v)=(v,u)
c) satisfies (u, v+w) = (u,v)+(u,w)
d) does not satisfy (u, v+w) = (u,v)+(u,w)
e)satisfies c (u,v) = (cu, v)
f) does not satisfies c (u,v) = (cu, v)
g) satisfies (v, v) >= 0 and(v,v)=0 if and only if v=0
h) does not satisfies (v, v) >= 0 and(v,v)=0 if and only if v=0