(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let u1 = [2 -2 2 ] u2 = [-2 2 1], u3 = [0 1 2]

Use the Gram-Schmidt process to u1, u2, u3, in this order. The resulting vectors are:

v1 = [___ ___ ___], v2 = [___ ___ ___], v3 = [___ ___ ___]

And ß = {v1, v2, v3} is an orthongal basis for R^{3}.

2. Relevant equations

v1 = u1

v2 = u2 - u2 . v1 v1

------------ v1 . v1

v3= u3 - u3 . v1 v1 - u3 . v2 v2

---------------v1 . v1 v2 . v2

3. The attempt at a solution

Well, the first one is easy.

v1 = [2 -2 2]

I solved v2 and got [-1, 1, 2] which was also right.

I tried v3 based on the equation and got [1, 2/3, 4/3] which was apparently incorrect.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Vectors Question (Orthogonality)

**Physics Forums | Science Articles, Homework Help, Discussion**