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graphic:python:maya [2021/08/22 19:35] – created ying | graphic:python:maya [2021/08/22 19:43] – ying | ||
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===== Proof of cos(A+B) formula ===== | ===== Proof of cos(A+B) formula ===== | ||
- | * original reference: ([[http:// | + | * original reference: ([[http:// |
===== Proof of rotation matrix ===== | ===== Proof of rotation matrix ===== | ||
- | * 2D rotation of an angle from (x,y) to (x1,y1) \\ {{graphic: | + | * 2D rotation of an angle from (x,y) to (x1,y1) \\ {{graphic: |
* Proof < | * Proof < | ||
let A (x,y) to A1 (x1,y1) turns degree of a in respect of origin. | let A (x,y) to A1 (x1,y1) turns degree of a in respect of origin. | ||
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in matrix form, it is same is the question above, Done. | in matrix form, it is same is the question above, Done. | ||
</ | </ | ||
- | * thus in 3D space, we expand to have: \\ {{graphic: | + | * thus in 3D space, we expand to have: \\ {{graphic: |
===== understand Matrix multiplication ===== | ===== understand Matrix multiplication ===== |