What is the cross product of #[9,4,-1]# and #[2, 1, -4] #?

1 Answer
Dec 21, 2015

Answer:

#(-15,34,1)#

Explanation:

The cross product of two 3-dimesnional vectors in #RR^3# may be given as a matrix determinant

#(9,4,-1)xx(2,1,-4)=|(hati,hatj,hatk),(9,4,-1),(2,1,-4)|#

#hati(-16+1)-hatj(-36+2)+hatk(9-8)#

#=-15hati+34hatj+hatk#

#=(-15,34,1)#