## Revision 3c452acba19aae62b85c05ac340762250798b020 (click the page title to view the current version)

## Changes from 3c452acba19aae62b85c05ac340762250798b020 to 6c47e9291cca26d95bffa929498a93183054f4a0

---
title: Change of Basis
categories: 3D lecture
---
# Motion examples
1. Translation
$$\vec{x}' = \vec{x}+\vec{t}$$
1. 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 $\mathbbm{R}^3}$
1. 3D Object is a set of points in $\mathbbm{R}^3$