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Question: what's wrong with crossproduct?

Question:what's wrong with crossproduct?

scumath 295 Maple
crossprod
June 14 2013
0

I need three orthogonal unit vectors, k, i, and j. I give the first two vectors, k=[sqrt(2)-1,-1,1] and i=[1,sqrt(2)-1,0], then use crossproduct to produce the third vector j=crossprod(k,i) . But it fails to produce the correct vector since dotprod(j,k) is not 0. 
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