摘要
给出n维空间中直线的定义,借助线性方程组解的理论给出n维空间直线的三种表示形式;定义点在直线上的投影,在此基础上定义点到直线的距离;运用矩阵代数中解线性方程组的方法,先得到原点到直线的距离公式,然后利用坐标变换得到n维空间中点到直线的距离公式,二维、三维空间中点到直线的距离公式是其特例.
Three different forms of a line in n-dimensional space are presented according to the theory of linear equations. Using tools in solving linear equations, the projection of a point to a line is discussed, and the distance formula for a point to a line is established by first considering the distance from the origin to the line.
出处
《高等数学研究》
2011年第2期3-5,共3页
Studies in College Mathematics
关键词
N维空间
直线
距离
n-dimensional space, line, distance
