The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Generalizing Orthogonal Projection
Replies: 7   Last Post: Jan 24, 2013 5:17 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Generalizing Orthogonal Projection
Posted: Jan 22, 2013 1:05 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Mon, 21 Jan 2013, wrote:

> Say we have a 1-D subspace L (i.e., a line thru the origin) in R^3 , and
> let q=(x,y,z) be a point in R^3 which is not on the line. Then I don't see
> how to project q orthogonally onto L; I can see how to project q into a
> 2-D subspace P : the projection of q into P is the ortho complement, and
> every vector in P is in the orthogonal complement of the ortho projected
> line. But, the same is not the case with q and L. Sorry for the rambling;
> my question is then actually:
> If L is a 1-D subspace of R^3, and q=(x,y,z) is a point not on L. Can we
> define the orthogonal projection of q into L, or do we need to have a plane
> P (as subspace) , to define an ortho projection of q?

Yes, the orthogonal projection of q onto L, is the orthogonal
projection of q onto L within the plain determined by q and L.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.