What is the cross product of #[1, 4, -2]# and #[3,-6,4] #?

1 Answer
Feb 2, 2016

Answer:

#A X B=4i-10j-18k#

Explanation:

#A=i+4j-2k#
#B=3i-6j+4k#
#A X B=i((A j*B k)-(A k*B j))-j((A i*B k)-(A k*B i))+k((A i*B j)-(A j*B i))#
#A X B=i(4*4-((-2)*(-6)))-j(1*4-(3*(-2))+k(1*(-6)-(3*4))#
#A X B=i(16-12)-j(4+6)+k(-6-12)#
#A X B=i(4)-j(10)+k(-18)#
#A X B=4i-10j-18k#