Inner product space

Whitespy

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Jun 2, 2019
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Hi guys I need your help.
We define Inner product space for example of a=(x1,y1,z1) ,b=(x2,y2,z2) like this:
<a,a>=x1^2+y1^2+z1^2 , <a,b>=x1x2+y1y2+z1z2

My question is if I need to find this <a+b,a+b> how I will find it?
I will put c=a+b so c=(x1+x2,y1+y2,z1+z2) and I will find <c,c>?

Tkank you!
 
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