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The Geometry of Electrostatics and Magnetostatics: Part 1
Here is a link to the powerpoint presentation from this session.
The content from the workshop on 17 May 2011:
We started with a small white board question on representations of vectors:
- Representations of Vectors
- A useful reference may be the section onVectors from our online text on the Geometry of Vector Calculus.
Then a small whiteboard question on the dot product:
- Dot Product
- A useful reference may be the section on The Dot Product from our online text on the Geometry of Vector Calculus.
The following paper may be a helpful resource about the dot product:
- Tevian Dray and Corinne A. Manogue, The Geometry of the Dot and Cross Products (MathML version)(published version), JOMA 6, (June 2006).
The we did a Compare and Contrast Activity about plane waves:
I showed some pictures from two Visualization activities in Maple, (Maple is a computer algebra software package which you or your institution would need to purchase in order to run these programs):
We ended with this Compare and Contrast Activity on comparing different plane wave representations: