O,A,B,C,为平面上4个点，OA向量=a向量，OB向量=b向量，OC向量=c向量，求|a向量|+|b向量|+|c向量|
第1个回答 2011-09-16
a＋b＋c＝0，a*b＝b*c＝c*a＝－1，
所以a=-(b+c)
从而a*a＝-a*(b+c)＝-ab-ac=2，
即a^2=2,
∴|a|＝√2
b*b＝-b*(a+c)＝-ab-bc=2，
即b^2=2,
∴|b|＝√2
同理|c|＝√2
所以，|a|＋|b|＋|c|＝3√2本回答被提问者采纳
所以a=-(b+c)
从而a*a＝-a*(b+c)＝-ab-ac=2，
即a^2=2,
∴|a|＝√2
b*b＝-b*(a+c)＝-ab-bc=2，
即b^2=2,
∴|b|＝√2
同理|c|＝√2
所以，|a|＋|b|＋|c|＝3√2本回答被提问者采纳
第2个回答 2011-09-16
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