El producto escalar da como resultado un escalar, y no un vector.[br][img]data:image/png;base64,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[/img][br]El producto escalar de dos vectores recibe este nombre debido a que da como resultado un[br]escalar; también se le llama producto interno de los dos vectores.[br][br][img]data:image/png;base64,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[/img][br][br]