What is the cross product of $[-1, -1, 2]$ and $[3, 2, 5]$ ?

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Answer 1 · 2015-12-27T18:56:33

$-9hati+11hatj+hatk$

This algebraic cross product of two 3-dimensional vectors may be calculated by a matrix determinant as follows :

$(-1,-1,2)xx(3,2,5)=|(hati,hatj,hatk),(-1,-1,2),(3,2,5)|$

$=hati(-5-4)-hatj(-5-6)+hatk(-2+3)$

$=-9hati+11hatj+hatk$

What is the cross product of [-1, -1, 2][-1, -1, 2] and [3, 2, 5] [3, 2, 5] ?