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

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Answer 1 · 2016-02-17T01:34:25

$< 7, 7, -7 >$

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 ${:(a_x,a_y,a_z,,b_x,b_y,b_z),(1,3,4,,3,2,5):}$

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

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