If $v\times w = 4i + 7j + 5k$ then what is $v\times w + w\times v$?
$v$ and $w$ are vectors, they aren't given. I have no idea how to do this and apparently it's asked on a quiz as a "surprise" question.
2026-03-27 22:31:06.1774650666
If $v\times w = 4i + 7j + 5k$ then what is $v\times w + w\times v$?
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Note that the cross product is what we call anti-commutative, i.e.
$$(\vec{v} \times \vec{w}) = - (\vec{w} \times \vec{v})$$
I feel like this fact will simplify your work greatly.