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I'm having trouble understanding how calculating the cross product arrives at the final result. When I do something simpler like multiplying a vector by a scalar, I can easily visualize in my head how each component "shrinks" or "grows".

With the cross product, despite having seen animations of it and though I know how to apply it, it seems like witchcraft to me. No amount of articles or videos seem to help, they all miss the mark (or I the point).

Do those of you familiar with the subject have anintuitionof how the result vector is assembled during the calculation? Do the components of the two input vectors drag it back and forth until it stands upright?

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# Cross product intuition

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