# Math Help - Finding Orthogonal Complement

1. ## Finding Orthogonal Complement

Hi! So I'm not totally sure what to do here...

so if p(x)=x and W = span{p} what is W ?

I thought I would use {1,x} as a basis and then
u1 = 1
u2 = 1 - proju1(v2)

so then u2 = 1 - (<1,x>/<1,1>)*1

That didn't really seem to come out right though. can anyone help me?

2. ## Re: Finding Orthogonal Complement

May i ask in what inner product space are you in. is it $ = \int_0^1 f(x)g(x) dx$ ?

Also, what vector space are you working in?

3. ## Re: Finding Orthogonal Complement

Originally Posted by jakncoke
May i ask in what inner product space are you in. is it $ = \int_0^1 f(x)g(x) dx$ ?

Also, what vector space are you working in?
Yes, only the limits on the integral are -1 to 1.
An earlier part of the question says it's in P2