Any 3 points always form a triangle, unless they are collinear. So all
you need to do is to find if the slopes wrt the 3 planes is the same
for lines formed using any 2 points.

Regards,
Aakash

On 5/27/07, Feng <[EMAIL PROTECTED]> wrote:
>
> Hi all!
>
> Given 3 points in 3D, what is the fast and numerically stable way to
> test if they form a triangle?
>
> I am thinking computing the determinant of the square matrix formed by
> the 3 points and testing if the determinant is nonzero. But I am not
> sure.
>
> What about the case for high dimensions, i.e. 4D, 5D ...
>
> Thanks!
>
>
> >
>

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