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Change of Basis

Motion examples

  1. Translation \[\vec{x}' = \vec{x}+\vec{t}\]
  2. Rotation \[\vec{x}' = \vec{x}\cdot R\]
    • But note that \(R\) is not an arbitrary matrix.
    • We’ll return to the restrictions

Definition: Rigid Body Motion

  1. 3D Object is a set of points in \(\mathbbm{R}^3\)