>> All these years, I thought the correct way to compute the cross 
>> product of two vectors is
>>
>>   x3 = y1 z2 - z1 y2
>>   y3 = x1 z2 - z1 x2
>>   z3 = x1 y2 - y1 x2
>>
>> But, apparently, I was wrong. The correct way is in fact
>>
>>   x3 = y1 z2 - z1 y2
>>   y3 = z1 x2 - x1 z2
>>   z3 = x1 y2 - y1 x2
>>
> 
> You should have caught that based on symmetry.

Well, the rule seems clear: the expression for (say) Y involves every 
coordinate except Y itself. I never realised it actually matters which 
order you put them in...

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