Construction for Three Vectors with Sum Zero

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On the sides of a triangle , construct three parallelograms , and . Then .

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Proof: .

You can move the vectors into a cyclic (sum-zero) configuration using the slider. Vertices can be moved with locators.

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Contributed by: Izidor Hafner (September 2016)
Using code by: Jaime Rangel-Mondragon
Open content licensed under CC BY-NC-SA


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