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simplifies vector formalism. Following a substantial debate, the mainstream shifted from Hamilton's quaternionic system to Gibbs's three-vectors system. This transition led to the prevalent adoption of the right-hand rule in the contemporary contexts. Specifically, Gibbs outlines his intention for establishing a right-handed coordinate system in his pamphlet on vector analysis. In Article 11 of the pamphlet, Gibbs states "The letters , , and are appropriated to the designation of a normal system of unit vectors, i.e., three unit vectors, each

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