Sejam u with rightwards arrow on top e v with rightwards arrow on top dois vetores. Chama-se produto vetorial, o vetor w with rightwards arrow on t...

Sejam u with rightwards arrow on top e v with rightwards arrow on top dois vetores. Chama-se produto vetorial, o vetor w with rightwards arrow on top tal que w with rightwards arrow on top space equals space u with rightwards arrow on top cross times v with rightwards arrow on top. Uma propriedade muito importante de um vetor é a sua norma. Como o produto vetorial é, também, um vetor, podemos calcular sua norma. Sabendo-se que a norma do produto vetorial pode ser definida em função dos vetores u with rightwards arrow on top e v with rightwards arrow on top, assinale a alternativa que apresenta a definição da propriedade "norma do produto vetorial". A) u with rightwards arrow on top space x space v with rightwards arrow on top space equals space minus space v with rightwards arrow on top space x space u with rightwards arrow on top B) open parentheses alpha space u with rightwards arrow on top space plus space beta v with rightwards arrow on top close parentheses space x space w with rightwards arrow on top space equals space alpha space open parentheses u with rightwards arrow on top space x space w with rightwards arrow on top close parentheses space plus space beta space open parentheses v with rightwards arrow on top space x space w with rightwards arrow on top close parentheses C) u with rightwards arrow on top space x space open parentheses alpha space v with rightwards arrow on top space plus space beta space w with rightwards arrow on top close parentheses space equals space alpha space open parentheses u with rightwards arrow on top space x space v with rightwards arrow on top close parentheses space plus space beta space open parentheses u with rightwards arrow on top space x space w with rightwards arrow on top close parentheses D) open parentheses u with rightwards arrow on top space x space v with rightwards arrow on top close parentheses space. space u with rightwards arrow on top space equals space open parentheses u with rightwards arrow on top space x space v with rightwards arrow on top close parentheses space. space v with rightwards arrow on top equals space 0 E) open double vertical bar u with rightwards arrow on top space x space v with rightwards arrow on top close double vertical bar space equals space u v space s e n space open parentheses u with rightwards arrow on top comma space v with rightwards arrow on top close parentheses