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

1 Answer
Feb 17, 2016

Answer:

#< 7, 7, -7 >#

Explanation:

There are a couple ways to do this.
Here is one:

The cross product of #< a_x,a_y,a_z > xx < b_x,b_y,b_z > = <c_x,c_y,c_z>#
where#{ (c_x=a_yb_z-a_zb_y),(c_y=a_zb_x-a_xb_y),(c_z=a_xb_y-a_yb_x):}#

Using this method:
with #{:(a_x,a_y,a_z,,b_x,b_y,b_z),(1,3,4,,3,2,5):}#

#c_x=3xx5-4xx2=7#
#c_b=4xx3-1xx5 =7#
#c_z=1xx2-3xx3=-7#