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

1 Answer
Trevor Ryan.
Dec 8, 2015

#=hati+16hatj+7hatk#

Explanation:

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#

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