What is the cross product of $[2, 1, -4]$ and $[1, -4, 0]$ ?

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Answer 1 · 2016-11-04T18:45:07

[-16, -4, -9]

$| (hati, hatj, hatk, hati, hatj), (2, 1, -4,2, 1), (1, -4, 0, 1, -4) | =$

$hati{(1)(0) - (-4)(-4)} + hatj{(-4)(1) - (2)(0)} + hatk{(2)(-4) - (1)(1)} =$
$-16hati - 4hatj - 9hatk = [-16, -4, -9]$

What is the cross product of [2, 1, -4][2, 1, -4] and [1, -4, 0] [1, -4, 0] ?