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Other Coordinate Systems - MIT OpenCourseWare

Other Coordinate Systems - MIT OpenCourseWare

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the origin, and apply a standard change of basis procedure. This will give, for a generic vector A, ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ ⎝ A r ⎠ = ⎝ cos θ sin θ ⎠ ⎝ A x ⎠ and ⎝ A x ⎠ = ⎝ cos θ − sin θ ⎠ ⎝ A r ⎠ . A θ − sin θ cos θ A y A y sin θ cos θ A θ Example Circular motion

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