| 也谈直线和平面投影阵的应用 |
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| 引用本文： | 李银成,李瑞新.也谈直线和平面投影阵的应用[J].数学学习,2011(2):11-14. |
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| 作者姓名： | 李银成 李瑞新 |
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| 作者单位： | [1]山西大同大学,大同师范分校,山西大同037039 [2]山西大同大学数计学院,山西大同037009 |
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| 摘 要： | 针对空间解析几何中的投影与垂直问题,引入直线和平面的投影阵与投影公式,从计算空间角与距离,体积和对称以及判断直线共面等方面给出求解结论,以展示投影阵在理论推导和实际计算中的应用.
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| 关 键 词： | 投影阵 投影向量 直线 平面 |
Projection of a Vector to a Straight Line or a Plane and Its Applications |
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| LI Yin-cheng,LI Rui-xin.Projection of a Vector to a Straight Line or a Plane and Its Applications[J].Studies In College Mathematics,2011(2):11-14. |
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| Authors: | LI Yin-cheng LI Rui-xin |
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| Institution: | g (1. Shanxi Datong Teachers School, Datong 037039, PRC; 2. School of Mathematics and Computer Science, Datong University, Datong 037009, PRC) |
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| Abstract: | Projection is a useful concept in analytic geometry. In this paper, we present the matrix forms of the projections of a vector to a straight line, as well as to a plane, and illustrate the use of these forms in calculating various quantities and geometric properties in analytic geometry, such as distance, dihedral angle, volume, symmetric points and a plane containing three lines. |
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| Keywords: | projection matrix projection vector straight line plane |
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