What is the cross product of $[2,-1,2]$ and $[5,1,-3]$ ?

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Answer 1 · 2015-12-08T21:24:27

$=hati+16hatj+7hatk$

In 3 dimensions, as these vectors are, we may use a determinant of a matrix system as follows to evaluate the cross product :

$(2,-1,2)xx(5,1,-3)=|(hati,hatj,hatk),(2,-1,2),(5,1,-3)|$

$=(3-2)hati-(-6-10)hatj+(2+5)hatk$

$=hati+16hatj+7hatk$

What is the cross product of [2,-1,2][2,-1,2] and [5,1,-3] [5,1,-3] ?