id: 05280477
dt: j
an: 2008c.00411
au: Trenkler, G.; Trenkler, D.
ti: On the product of rotations.
so: Int. J. Math. Educ. Sci. Technol. 39, No. 1, 94-104 (2008).
py: 2008
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: H65 G75
ut:
ci:
li: doi:10.1080/00207390601115054
ab: Summary: 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.
rv: