Answer to Question #37688 in Geometry for lyka

Question

The following properties hold for arbitrary vectors u,v, and w and arbitrary scalars a and b
a.) u+v=v+u
b.)u+(v+w)=(u+v)+w
c.)(ab)v=a(bv)
d.)(a+b)v=av+bv
e.)v+0+v
f.)0v=0
g.)a0=0
h.)|av|=|a| |v|
i.)|u+v| is less than or equal to |u| + |v|
j.) a(u+v)=au+av

Answer 1

Dear visitor
Unfortunately, the statement of your question is a bit confusing.
What do you need to be done? From what space are vectors u,v? Please, give us the details so we could help you