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Re: Wrong behavior of CrossProduct


Hello,

> How Mathematica implement the Cross Product of two vectors?
>
>  As far as I know the basic definition of the Cross Product between
>two vectors in ANY ORTHOGONAL coordinated system is as follows:
>
>(a1,a2,a3)X(b1,b2,b3) = (a2*b3 - a3*b2,
>                         a3*b1 - a1*b3,
>                         a1*b2 - a2*b1)

I think that this definition applies only to cartesian coordinate
systems.  It is very common, however, especially in describing vector
fields, to use a locally cartesian coordinate system even when the
host coordinate system is not cartesian.  

Dave Withoff
Wolfram Research


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