设非零向量abcd,满足d=(a*c)b-(a*b)c,求证a垂直d
人气：299 ℃ 时间：2019-12-12 21:31:34
解答
∵d*a=(a*c)b*a-(a*b)c*a=(a*c)(b*a)-(a*b)(c*a)=(a*c)(b*a)-(a*c)(b*a)=0
∴a垂直d
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