Spectos

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