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

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Answer 1 · 2016-04-17T19:13:37

$A X B=-2 hat i-hat k$

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$A=[2,1,-4]$

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

$A X B=hat i(1*2-1*4)-hat j(2*2-4*1)+hat k(2*(-1)+1*1)$

$A X B=hat i(2-4)-hat j(4-4)+ hat k(-2+1)$

$A X B=-2hat i-0hat j-hat k$

$A X B=-2 hat i-hat k$

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