Figure 1.1

To locate a particle, commence with two assumptions:

• Space is Euclidean: this allows us to translate frames to a point of interest.
• Space is Orientable: this allows us to defined a consistent order for the axes (an example of a non-orientable space is a Mobious Strip)

Next, we introduce a coordinate system and an origin as:

Finally, we introduce unit tangent vectors to the coordinate system. This enables us to define the frame axes.