- What sort of a beast is it?
- Is it a scalar or a vector?
- What are the units? ($x$ is a length!)
- Physics is independent of coordinates.
- Vectors are arrows in space, not triples of numbers.
- Dot and cross products defined (and computed) geometrically.
- Graphs are about the relationships of physical things.
- Most physics is three-dimensional.
- Points in the domain of a function physically exist.
- The values of a function represent some measurable quantity.
- Hills are not good examples of functions of two variables.
- 3-d graphs of functions of 2 variables are misleading. (Use color!)
- Fundamental physics is highly symmetric.
- Spheres and cylinders vs. paraboloids.
- Interesting physics problems can involve trivial math.
- Use of $\rhat$, $\that$, $\phat$.
