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

1 Answer
Dec 27, 2015

Answer:

#-9hati+11hatj+hatk#

Explanation:

This algebraic cross product of two 3-dimensional vectors may be calculated by a matrix determinant as follows :

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

#=hati(-5-4)-hatj(-5-6)+hatk(-2+3)#

#=-9hati+11hatj+hatk#