What is the cross product of #[2, 1, -4]# and #[3, 2, 5] #?

1 Answer
Dec 19, 2015

Answer:

#(13,-22,1)#

Explanation:

By definition, the vector cross product of these two 3-dimensional vectors in #RR^3# may be given by the following matrix determinant :

#(2,1,-4)xx(3,2,5)=|(hati,hatj,hatk),(2,1,-4),(3,2,5)|#

#=hati(5+8)-hatj(10+12)+hatk(4-3)#

#=13hati-22hatj+hatk#

#=(13,-22,1)#