This video provides an intuitive understanding of the numerical values inside of a rotation matrix. A pure Z axis rotation is used to illustrate the reason why rotation matrices are formulated the way they are. For this case, we can use simple trigonometry of a triangle to calculate the coordinates of a rotated reference frame.
Prereq videos:
4. Rotation Matrix - • Rotation Matrix and Reference Frames ...
Optional videos:
3. Reference Frames - • Reference Frames | Numerical Methods ...
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