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Subject: Re: [boost] Geometry and spatial indexes, my opinion
From: Johan Råde (rade_at_[hidden])
Date: 20081009 12:49:45
> Isn't the cross product 3Donly?
The 3dimensional cross product can be extended to ndimensions.
The ndimensional crossproduct takes (n1) nvectors as arguments
and returns an nvector.
If the argument vectors are linearly dependent, then the return vector is 0.
If the argument vectors are linearly independent,
then the return vector is the unique nvector such that
1. it is perpendicular to all the argument vectors
2. its length is equal the (n1)dimensional volume
of the parallellepiped spanned by the argument vectors
3. the argument vectors and the return vector form a positively oriented system.
Johan
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