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What is the outer product of a vector, what is its geometric and arithmetic significance, and how to find it?
The vector outer product is defined as: a × B = | a | ·| B | · sin. The geometric proof method of distribution law is very complicated, and the main idea is to use the method of drawing to verify. If you are interested, please refer to the proof in the reference. The algebraic method is given below. We assume that we already know: 1) the antisymmetry of outer product: a × B = - B ×
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