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Cross Product, Scalar Triple Product, Plane, Area, Volume of Parallelepiped - Linear Algebra
8 months ago
48
Health & Science
Education
cross product
scalar triple product
parallelepiped
volume of parallelepiped
volume of a parallelepiped
triple product
scalar triple product of vectors
dot product
linear algebra
The video explains the cross product formula of two vectors (e.g. J and J) and its properties, what does it tell you, how to tell if it is positive or negative, and the difference to the dot product. The triple scalar product rule is also covered using an example.
0:00 Cross product, definition
4:41 Geometric interpretation, right hand rule
7:58 Properties of the cross product, unit vectors
11:58 Scalar triple product
16:01 Volume of a parallelepiped using determinants
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