1. Write down a clear and complete expression (EQUATION!) for the magnetic field as a function of charge, velocity and displacement from the charge.
2. Write down clear and complete expression (EQUATION!) for the magnetic field as a function current, length and displacement from the current.
3. Write down a clear expression for the magnetic force as a function of current, length, and magnetic field .
4. Write and illustrate a complete compare/contrast between the "Dot Product" and "Cross Product" for the multiplication of two vectors.
5. Write and illustrate a complete compare/contrast between the behavior of electric field lines from charges and the behavior of magnetic field lines from charges.
6. Put together all the above results in order to provide and illustrate a clear and complete EXPLANATION for Ampere's finding.