| 论向量积在高维空间的推广 |
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| 引用本文： | 刘海峰.论向量积在高维空间的推广[J].工科数学,2014(3):74-78. |
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| 作者姓名： | 刘海峰 |
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| 作者单位： | 上海海洋大学信息学院,上海201306 |
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| 基金项目： | 上海高校选拔培养优秀青年教师科研专项基金（SSC09024）;上海海洋大学博士科研启动金 |
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| 摘 要： | 探讨了3维欧氏空间的向量积在高维空间推广的可能性.在三条假设下推导出高维空间中的向量积所应具备的若干性质,证明了在某些意义下向量积仅存在于R3,并举例说明R7与R3中向量积不同的根源.
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| 关 键 词： | 欧氏空间 向量积 三重矢积 维数 |
On the Extension of Vector Product in Multi-dimensional Euclidean Space |
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| LIU Hai-feng.On the Extension of Vector Product in Multi-dimensional Euclidean Space[J].Journal of Mathematics For Technology,2014(3):74-78. |
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| Authors: | LIU Hai-feng |
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| Institution: | LIU Hai-feng (College of Information Technology, Shanghai Ocean University, Shanghai 201306, China) |
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| Abstract: | The possibility of the vector product in multi-dimensional space was discussed. Several properties that the vector product in multi-dimensional space should have was proved under three essential hypotheses. Then the vector product can merely exist in R^3 was concluded. The source that casuses the difference on the vector products between R^ 7 and R^ 3 was showed. |
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| Keywords: | Euclidean space vector product triple vector product dimension |
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