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

Question

1623 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-12T21:29:16

$AXB=-4i-13j-5k$

$vec A=[3,1,-5]$

$vec B=[2,-1,1]$

$A_x=3$
$A_y=1$
$A_z=-5$

$B_x=2$
$B_y=-1$
$B_z=1$

$AXB=(A_y*B_z-A_z*B_y)i-(A_x*B_z-A_z*B_x)j+(A_x*B_y-A_y-B_x)k$

$AXB=i(1*1-(5*1))-j(3*1+2*5)+k(-1*3-2*1)$

$AXB=i(1-5)-j(3+10)+k(-3-2)$

$AXB=-4i-13j-5k$

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