高数空间集合
来源:学生作业学帮网 编辑:学帮网 时间:2024/05/15 01:05:37
高数空间集合
如图
先从ab内积找角度,120度,再求外积的模a*b*sin120为6*根3
自己想想看吗,要靠自己的能力啊!自己想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想...
全部展开
自己想想看吗,要靠自己的能力啊!自己想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想想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