What is the cross product of #[1,-2,-1]# and #[4,3,6] #?

1 Answer
May 22, 2016

Answer:

The cross product is #{-9,-10,11}#.

Explanation:

For two vectors #{a,b,c}# and #{x,y,z}#, the cross product is given by:

#{(bz-cy),(cx-az),(ay-bx)}#

In this case, the cross product is:

#{(-2*6)-(-1*3),(-1*4)-(1*6),(1*3)-(-2*4)}#

#={(-12)-(-3),(-4)-(6),(3)-(-8)}#

#={-9,-10,11}#