Register to reply 
Basis of Orthogonal Complement 
Share this thread: 
#1
Apr2010, 11:10 PM

P: 7

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
Apr2010, 11:19 PM

Sci Advisor
HW Helper
Thanks
P: 25,228

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?



Register to reply 
Related Discussions  
Orthogonal complement of a subspace  Calculus & Beyond Homework  3  
Difference between an orthogonal complement and the orthogonal complement's basis.  Calculus & Beyond Homework  2  
Orthogonal Complement  Calculus & Beyond Homework  1  
Orthogonal complement question  Calculus & Beyond Homework  1  
Orthogonal complement  Linear & Abstract Algebra  11 