How Rotation Matrices Actually Rotate Vectors (With Code & Math) | Episode 1 | Vector Rotation
Автор: JoyOfCoding
Загружено: 2026-01-10
Просмотров: 14
Most tutorials show you the rotation matrix — very few show you why it works.
In this video, we build the 2D and 3D rotation matrix from first principles using
sine, cosine, and angle addition, then apply it directly to real vectors using code.
You will see:
• How a vector’s coordinates change when it rotates
• Why the rotation matrix contains cos θ and sin θ
• How matrix multiplication produces the rotated vector
• A live code demonstration that performs the rotation numerically
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