Programming Algorithms Question:
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How do I rotate a 2D point?
Answer:
In 2-D, the 2x2 matrix is very simple. If you want to rotate a column vector v by t degrees using matrix M, use
M = {{cos t, -sin t}, {sin t, cos t}} in M*v.
If you have a row vector, use the transpose of M (turn rows into columns and vice versa). If you want to combine rotations, in 2-D you can just add their angles, but in higher dimensions you must multiply their matrices.
M = {{cos t, -sin t}, {sin t, cos t}} in M*v.
If you have a row vector, use the transpose of M (turn rows into columns and vice versa). If you want to combine rotations, in 2-D you can just add their angles, but in higher dimensions you must multiply their matrices.
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