| 再论n维欧氏空间的广义勾股定理 |
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| 引用本文： | 邓勇.再论n维欧氏空间的广义勾股定理[J].喀什师范学院学报,2014(3):1-2,5. |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系,新疆喀什844008 |
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| 摘 要： | 在将三维欧氏空间的勾股定理在n维欧氏空间中进行推广的基础上，从另一个角度入手，将标准叉积在n维欧氏空间中进行推广，再次证明了n维欧氏空间的广义勾股定理。
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| 关 键 词： | n维空间 叉积 勾股定理 |
Discussing Again on the Generalized Pythagorean Theorem in n-Dimensional Space |
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| DENG Yong.Discussing Again on the Generalized Pythagorean Theorem in n-Dimensional Space[J].Journal of Kashgar Teachers College,2014(3):1-2,5. |
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| Authors: | DENG Yong |
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| Institution: | DENG Yong (Department of Mathematics, Kashgar Teachers College, Kashgar 844008, Xinjiang, China) |
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| Abstract: | In the paper the Pythagorean Theorem in 3-dimensional space was extended to the n-dimensional space by using Gram determinant that consisted of the vector dot product. In this article, standard cross product was extended to the n-dimensional space, and generalized Pythagorean Theorem in n-dimensional space was proved once again. |
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| Keywords: | n-dimensional space Cross product Pythagorean Theorem |
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