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## Homework Statement

Let

**R**^3 have the inner product <

**u**,

**v**> =

**u**

_{1}

**v**

_{1}+ 2

**u**

_{2}

**v**

_{2}+ 3

**u**

_{3}

**v**

_{3}. Use the Gram-Schmidt process to convert

**u**

_{1}=(1,1,1),

**u**

_{2}= (1,1,0),

**u**

_{3}= (1,0,0) into a normal orthonormal basis

## Homework Equations

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

## 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.