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Multivariable calculus 1.2 - Vector multiplication and the dot product
Автор: Anders Goude
Загружено: 2024-03-08
Просмотров: 94
Описание:
In this video, we will introduce vector multiplication and then focus on the dot product. We will talk about orthogonality and an orthonormal basis. We will focus a bit on using the dot product for projection, and at the end give a brief introduction to non-orthogonal basis and the determinant
0:00 Introduction to multiplication of vectors
2:50 Derivation of the expressions for dot- and cross product on component form in 2d
5:07 Dot product - examples from physics - work
7:56 example from physics - flow
9:22 Properties of the dot product
12:10 Projection
13:44 Orthogonal and orthonormal vectors
17:24 Non-orthogonal basis vectors
20:34 Determinant
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