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## Gram-Schmidt orthonormal basis

1. The problem statement, all variables and given/known data
Let R^3 have the inner product <u, v> = u1v1 + 2u2v2 + 3u3v3. Use the Gram-Schmidt process to convert u1=(1,1,1), u2 = (1,1,0), u3 = (1,0,0) into a normal orthonormal basis

2. Relevant equations
I know the process for the orthonomoral converasion. I have no problem with that. I hope I can skip typing those equations out.

3. The attempt at a solution
My confusion is how to use the equation for the dot product. I am thinking that I need to do the Gram-Schmidt process then somehow put the result into the dot product equation.

If I phrased anything wrong or left out something pertinent I apologize this is my first post. So I tried to follow the rules.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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