1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Basis of Orthogonal Complement

  1. Apr 20, 2010 #1
    Let S be the subspace of R^3 spanned by x=(1,-1,1)^T.

    Find a basis for the orthogonal complement of S.

    I don't even know where to start... I would appreciate your help!
  2. jcsd
  3. Apr 20, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper

    If (a,b,c)^T is a general vector in R^3 then it's orthogonal to (1,-1,1)^T if the dot product is zero. What conditions does that give you on a, b and c?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook