Vector Rotation (Derivation & Geometric Proof)

Most game programmers know that we can use a matrix to rotate a vector around the origin.

They also probably know that a vanilla rotation matrix looks something like this:
[ cosθ -sinθ ]
[ sinθ cosθ ]

But, do you want to understand where these formulas come from?

In this video, we'll learn how to derive the formulas for vector rotation in 2D, including the mathematical geometrical proof of how to find the new rotated values of x and y.

I hope you enjoy it! :)

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Enjoy!

Видео Vector Rotation (Derivation & Geometric Proof) канала pikuma