Geometría

2D Rotation Matrix Generador

Generate a 2D rotation matrix from an angle, inspect the sine and cosine entries, and verify the rotation visually on the unit circle.

Enter Rotation Angle

Input the angle to generate the 2D rotation matrix and visualize the basis vector transformation.

Rotation Matrix Formula

Generated Matrix

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Unit Circle Basis Vector Rotation

Blue arrow is rotated x-basis (i'). Green arrow is rotated y-basis (j'). Gray lines show original coordinates.