Geometric Algebra (GA) with GeoGebra: Identify a Bivector's Orthonormal Components
A worked, numerical example begins at 03:29. GeoGebra (https://www.geogebra.org/) is a fantastic, free tool that's fantastic for checking solutions that we derive via GA. Here, we learn the few, simple steps that let us identify the orthonormal components of bivectors by using GeoGebra's built in tools.
00:00 Introduction, and what's meant by the "orthogonal components of a bivector".
01:00 Why is GeoGebra so useful for learning GA?
01:47 The key idea that makes it simple: The duality relation v=B(I3)^(-1)
03:29 Get Real! -- a worked, numerical example.
07:22 Does our answer make sense? Note that the sum of the squares of the b's is 1.
07:51 What happens when we change the basis vectors e1, e2, and e3?
09:00 Please consider joining the LinkedIn group "Pre-University Geometric Algebra" (https://www.linkedin.com/groups/8278281/)
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