I was developing a pythagorean theorem proof based on the cross product of two vectors..Below is my final solution...My problem is I had to get around using the distance/magnitude formula because that is using the pythagorean theorem to prove the pythagorean theorem. But after searching, it may be true that the cross product itself is a generalization of the pythagorean theorem. I'm asking anyone to look at this proof who is real saavy with Linear Algebra and vectors to let me know if cross-product can or cannot be used to prove the pythagorean theorem..My final solution to ascertain the distance of the orthogonal vector, was to use a number line and absolute value based on the standard conventions of the orthogonal vector itself. Thank you for any help?(adsbygoogle = window.adsbygoogle || []).push({});

http://www.scribd.com/doc/202754816/3-d-Cross-Product-Proof-3-Vectors-Orthogonal-Solution [Broken]

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# Pythagorean theorem based on cross product.

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