What is the cross product of $<7 ,4 ,1 >$ and $<-5 ,2 ,8 >$ ?

Question

1254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-26T06:29:32

Cross product is $< 30, -61, 34 >$

Cross product of $< a_1, a_2, a_3 >$ and $< b_1, b_2, b_3 >$ is

$< (a_2*b_3-a_3*b_2),(a_3*b_1-a_1*b_3),(a_1*b_2-a_2*b_1) >$

Hence cross product of $< 7, 4, 1 >$ and $< -5, 2, 8 >$

is $< (4*8-1*2), (1*(-5)-7*8), (7*2-4*(-5)) >$

i.e. $< (32-2),(-5-56),(14+20) >$

or $< 30, -61, 34 >$

What is the cross product of <7 ,4 ,1 ><7 ,4 ,1 > and <-5 ,2 ,8 ><-5 ,2 ,8 >?