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

1 Answer
Jun 26, 2016

Answer:

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

Explanation:

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 >#