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Prove that the points 2i + 3j + 4k, 3i + 4j + 2k, 4i + 2j + 3k form an equilateral triangle.

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Prove that the points 2i + 3j + 4k, 3i + 4j + 2k, 4i + 2j + 3k form an equilateral triangle.

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Let ABC be the given triangle with vertices 

ABC is an equilateral triangle.

(i.e.,) The given points from an equilateral triangle.

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