En muchas aplicaciones en física, ingeniería y geometría hay que encontrar un vector en[br]el espacio ortogonal a dos vectores dados. En esta sección se estudia un producto que da[br]como resultado ese vector. Se llama producto vectorial y se define y calcula de manera[br]más adecuada utilizando los vectores unitarios canónicos o estándar. El producto vectorial[br]debe su nombre a que da como resultado un vector. Al producto vectorial también se le[br]suele llamar producto cruz.[br][br][img]data:image/png;base64,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[/img][br][br]Una manera adecuada para calcular [b]u x v[/b] es usar determinantes con expansión de[br]cofactores. (Esta forma empleando determinantes se usa sólo para ayudar a recordar[br]la fórmula del producto vectorial, pero técnicamente no es un determinante porque las[br]entradas de la matriz correspondiente no son todas números reales.)[br][br][img]data:image/png;base64,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[/img][br]