Happy new year. Why everybody uses this definition of rotation matrix[tex]R(\theta) = \begin{bmatrix}(adsbygoogle = window.adsbygoogle || []).push({});

\cos\theta & -\sin\theta \\[0.3em]

\sin\theta & \cos\theta \\[0.3em]

\end{bmatrix}[/tex]

? This is clockwise rotation. And we always use counter clockwise in mathematics as a positive direction

[tex]R(\theta) = \begin{bmatrix}

\cos\theta & \sin\theta \\[0.3em]

-\sin\theta & \cos\theta \\[0.3em]

\end{bmatrix}[/tex]

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# Rotation matrix -- Question

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