# Orthogonal question

1. Mar 3, 2009

### transgalactic

W is sub space of $$R^4$$ which is defined as
http://img21.imageshack.us/img21/1849/63042233.th.gif [Broken]

find the system that defines the complements $$W^\perp$$ of W
i have solved the given system and i got one vector (-1,1,0,0)
so its complement must be of R^3 and each one of the complements vectors are
orthogonal to it

how to find them
??

Last edited by a moderator: May 4, 2017
2. Mar 3, 2009

solved it :)