ERIC Number: EJ781072
Record Type: Journal
Publication Date: 2008-Jan
Reference Count: 9
On the Product of Rotations
Trenkler, G.; Trenkler, D.
International Journal of Mathematical Education in Science and Technology, v39 n1 p94-104 Jan 2008
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.
Descriptors: Matrices, Geometric Concepts, Mathematics Instruction, Geometry, Validity, Mathematical Logic, Equations (Mathematics)
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Publication Type: Journal Articles; Reports - Descriptive
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