Geometric Algebra: dot, wedge, cross and vector products.
Автор: Peeter Joot's math and physics play
Загружено: 2017-07-17
Просмотров: 6506
Geometric (Clifford) Algebra introduction, showing the relation between the vector product dot and wedge products, and the cross product.
Prerequisites:
The viewer is assumed to be familiar with dot and cross products.
The viewer is assumed to be familiar with determinants and their properties, and the determinant representation of the cross product.
In particular:
Two and three dimensional determinants are used.
It is assumed that the viewer knows that exchanging any two rows or columns of a determinant changes the sign,
that a determinant with any repeated row or column is zero, and
it is understood how to expand a determinant using the cofactor expansion along the first row.
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