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Rotation of axes


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Right and left-hand coordinates


Equations are omitted for technical reasons - download the original pdf

[Diagram goes here - download the original pdf to see it.] The diagram above explains what is meant by a right-handed coordinate system. When the thumb of the right-hand is pointing upwards the curl of the fingers gives the direction of the rotation of x-axis to the y-axis. In a left-handed coordinate system, the left-hand is used and the direction is reversed.
Contents of
Rotation of axes

1 Rotation of Axes - Introduction
2 Right and left-hand coordinates
3 Direction cosines
4 Angles between lines through the origin
5 Rotation of axes
6 The summation convention
7 Invariance with respect to a rotation of the axes

Related articles: (1) Linear Transformations and matrices, (2) Rotation of axes