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# Inner product space

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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:

=x1^2+y1^2+z1^2 , =x1x2+y1y2+z1z2

My question is if I need to find this how I will find it?

I will put γ=a+b so γ=(x1+x2,y1+y2,z1+z2) and I will find ?

And an other question I know norm(a)=IIaII=$$\sqrt{ }$$

Witch is the evidence of Cauchy–Schwarz inequality witch say:

I I ≤ ΙΙαII IIβII

I don't find the answer in internet I can't underestand it.

Tkank you!

Jul 17, 2019
edited by DimitrisThymaras  Jul 17, 2019
edited by DimitrisThymaras  Jul 17, 2019