What is the cross product of #[3,2, 5]# and #[0,8,5] #?

1 Answer
Trevor Ryan.
Dec 8, 2015

#=-30hati-15hatj+24hatk#

Explanation:

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

#(3,2,5)xx(0,8,5)=|(hati,hatj,hatk),(3,2,5),(0,8,5)|#

#=(10-40)hati-(15-0)hatj+(24-0)hatk#

#=-30hati-15hatj+24hatk#

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