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

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Sep 14, 2016

Answer:

#24hati-16hatj+8hatk# is the answer.

Explanation:

Let #vecA=[2,1,-4]# and #vecB=[2,5,4]#

So,# [a_1,a_2,a_3]# is #[2,1,-4]#

and # [b_1,b_2,b_3]# is #[2,5,4]#

#vecA# x #vecB# = #hati(a_2b_3-a_3b_2)-hatj(a_1b_3-a_3b_1)+hatk(a_1b_2-a_2b_1)#.............(I have not written it in determinant form as I don't know how to represent it here.)

#vecA# x #vecB# = #hati(4+20)-hatj(8+8)+hatk(10-2) = 24hati-16hatj+8hatk#

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