Geometric Algebra
A vector algebra for planes with an orthonormal basis
Multiplying vectors in 2-space
Dimensional analysis and reciprocal space...
The bivector imaginary pseudoscalar
Commutation (e.g. the bivector imaginary anticommutes)
Reversion, and physical components formerly known as imaginary
Physical 3-space with orthonormal basis
Dot and wedge products in 3 space
Dimensional analysis and reciprocal space...
The trivector imaginary pseudoscalar
Basis vectors, and bivector imaginaries in 3-space
Commutation (e.g. the trivector imaginary commutes)
Reversion, and other imaginary elements
Physical 3-space with a non-cartesian basis
Flat spacetime with orthonormal basis
Spacetime Multiplication
Commutation (e.g. does the quadvector imaginary anticommute?)
Curved spacetime with any basis
| Created by Mathematica (April 17, 2005) | |