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Just having some trouble understanding a certain example of cross product. It's actually for physics, but figured it belongs in this forum.

In the question I am supposed to cross (dl)y hat with (x

_{1})x hat.

So I go (0 dl 0) x (x

_{1}0 0) = (-x

_{1}dl)z hat. But turns out the answer the computer looking for is the same but without the negative. Wouldn't that be the case if i crossed it backwards, i.e. (x

_{1})x hat cross (dl) y hat ??