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Past exam of the mathematical methods I course of the University of Oxford / 2013 resit / 10 / a / ii

Codex (@codex,  0) ... Year 1 of the physics course of the University of Oxford Mathematical methods I course of the University of Oxford Past exam of the mathematical methods I course of the University of Oxford 2013 resit 10 a
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ii
With the same active rotation convention, the x axis remains fixed, while ey​ moves toward ez​. Therefore
Rx​(β)=​100​0cosβsinβ​0−sinβcosβ​​.​
(1)
For instance, a positive quarter-turn maps ey​ to ez​ and ez​ to −ey​, checking both signs. This is again an orthogonal matrix of determinant one.

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