How Can We Formulate Planes in GA (Geometric Algebra)?

2 years ago
22

At 2:00 and thereafter, the equation for v should read
"v=[p ∧ B]B^(-1).
00:00 Introduction, and the two cases that we'll consider.
00:45 A key idea: Rejection of a vector with respect to a bivector.
01:22 The 1st Case: Plane passes through a specified point, and is parallel to a given bivector.
01:51 The 2nd Case: Plane is at a given distance from a specified point, and is parallel to a given bivector.
03:41 Transforming the equation that we obtained for the 2nd case.

LinkedIn group, "Pre-University Geometric Algebra":
https://www.linkedin.com/groups/8278281/

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