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

Marco Inacio marcoigarapava at gmail.com
Fri Oct 30 01:59:20 CET 2015


I think that's just what I needed. Thanks!

On 2015-10-29 09:55 PM, peter dalgaard wrote:
>> 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
>>
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