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CTK Exchange
Naveed Aslam
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Sep-21-05, 02:25 PM (EST) |
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"Proof of Vectors"
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Hi: Does anybody know how I can Prove that the area of the triangle contained betewen vectors a and b is half of the absolute value of vector a multiplied by vectro b. Thank You. I know that you can break the two vectos into components such as: b sin theta and a sin thetha.... but i dont know wat to do. |
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Owen
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Oct-06-05, 09:23 AM (EST) |
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1. "RE: Proof of Vectors"
In response to message #0
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Have you found the proof yet? If not, I think I could explain it, but I don't want to bother if you've already found it'somewhere else. I think the statement should be clarified a bit, though. There are several ways to multiply vectors, and here you need to use the cross product, not the standard inner product (also called the dot product). The cross product will be another vector, so by "absolute value", you mean the length of the cross product. The statement then reads "The area ... is half the length of the cross product of vector a and vector b." |
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