1. The problem statement, all variables and given/known data
Let R^3 have the inner product <u, v> = u_{1}v_{1} + 2u_{2}v_{2} + 3u_{3}v_{3}. Use the GramSchmidt process to convert u_{1}=(1,1,1), u_{2} = (1,1,0), u_{3} = (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 GramSchmidt 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
