Rotation Representation (mathematics)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry a rotation representation expresses the orientation of an object relative to a coordinate reference frame. This concept extends to classical mechanics where rotational kinematics is the science of describing the purely rotational motion of an object. According to Euler''s rotation theorem the general displacement of a rigid body with one point fixed is described by a rotation about some axis. Furthermore, such a rotation may be uniquely described by a minimum of three parameters. However, for various reasons, there are several ways to represent such a rotation. Many of these definitions use more than the necessary minimum of three parameters, although any such representation still has only three degrees of freedom.

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High Quality Content by WIKIPEDIA articles! In geometry a rotation representation expresses the orientation of an object relative to a coordinate reference frame. This concept extends to classical mechanics where rotational kinematics is the science of describing the purely rotational motion of an object. According to Euler's rotation theorem the general displacement of a rigid body with one point fixed is described by a rotation about some axis. Furthermore, such a rotation may be uniquely described by a minimum of three parameters. However, for various reasons, there are several ways to represent such a rotation. Many of these definitions use more than the necessary minimum of three parameters, although any such representation still has only three degrees of freedom.