What is the cross product of #[3, 1, -4]# and #[1, 1, 18] #?

1 Answer
Trevor Ryan.
Dec 20, 2015

#(22,-53,2)#

Explanation:

The vector cross product of two 3-dimesnional vectors in the vector space #RR^3# may be computed as a matrix determinant

#(3,1,-4)xx(1,1,18)=|(hati,hatj,hatk),(3,1,-4),(1,1,18)|#

#=hati(18+4)-hatj(54-1)+hatk(3-1)#

#=22hati-53hatj+2hatk#

#=(22,-53,2)#

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