Affine Coordinates

• If A is a three-dimensional space, each basis $v_1,v_2,v_3$ can be depicted by choosing its elements as the unit vectors of the x-axis, the y-axis, and the z-axis, respectively
• In general, this will produce three axes which are not necessarily perpendicular, and where the units are set differently
• Cartesian coordinates are a special kind of affine coordinates that correspond to the case where $v_1=(1,0,0),v_2=(0,1,0),v_3=(0,0,1)$