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Please see the image attached.
Does that have anything to do with directions? The righthand rule?
Does that have anything to do with directions? The righthand rule?
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I didn't see the second part of your question. The direction of A x C or C x A doesn't matter because they have the same magnitude. That is why (1/2)A x C = (1/2)C x A is true.If you mean
Area of triangle = (1/2)A x C = (1/2)C x A
as in, using the magnitude of the crossproduct of two vectors to find the area of the triangle between them, then yes.