>> With general matrix multiplication, getting it wrong tends to really 
>> mess things up. But in the specific case of a cross product, maybe it 
>> doesn't...
> 
>   If you try to calculate A*B of two square matrices in the wrong order
> (ie. A columns times B rows instead of the other way around), what you end
> up doing is calculating B*A. With a cross-product it means that you are
> using the opposite winding, thus reversing the resulting vector. The end
> result is still correct, just pointing to the opposite direction of what
> you wanted.

Well, in my case I'm merely trying to construct a system of 
perpendicular vectors, so I'm not really bothered *what* they are, so 
long as they're actually perpendicular. Getting the cross product 
epically wrong like I did prevents this from happening...

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