[R] find all unit vectors which are orthogonal to a given vector

peter dalgaard pdalgd at gmail.com
Fri Oct 30 00:55:53 CET 2015


> On 30 Oct 2015, at 00:03 , Duncan Murdoch <murdoch.duncan at gmail.com> wrote:
> 
> On 29/10/2015 6:38 PM, Marco Inacio wrote:
>> Is there a function in R to get the set of all unit vectors which are 
>> orthogonal to a given vector?
> 
> No.

Building blocks should be there, though. The last n-1 columns of 

Q <- qr.Q(qr(cbind(v, diag(nrow=length(v))))) 

looks like a good start. 

The full set is an n-1 dimensional sphere in n-space, spanned by those column vectors. If you need more than that representation, some further assembly is required.

-pd

 

> 
> Duncan Murdoch
> 
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.

-- 
Peter Dalgaard, Professor,
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Email: pd.mes at cbs.dk  Priv: PDalgd at gmail.com



More information about the R-help mailing list