On the product of rotations

被引：2

作者：

Trenkler, G. ^{[1
]}

Trenkler, D. ^{[2
]}

机构：

[1] Univ Dortmund, Dept Stat, Vogelpothsweg 87, D-44221 Dortmund, Germany

[2] Univ Osnabruck, Dept Econ, D-49069 Osnabruck, Germany

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2008年 / 39卷 / 01期

关键词：

D O I：

10.1080/00207390601115054

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Using the elementary tools of matrix theory, we show that the product of two rotations in the three-dimensional Euclidean space is a rotation again. For this purpose, three types of rotation matrices are identified which are of simple structure. One of them is the identity matrix, and each of the other two types can be uniquely characterized by exactly one vector. The resulting products are investigated by using the basic properties of the vector cross product.

引用

页码：94 / 104

页数：13

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