Vectors in 2D and 3D Space, Examples - Linear Algebra

4 months ago
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Science Education linear algebra vectors vectors linear algebra vector space vector spaces vector linear transformation vector algebra abstract vector space

This video explains vectors, including meaning, addition, subtraction, scaling, coordinate systems and position vectors. Some properties are shown geometrically including commutativity and associativity.

0:00 Intro to vectors
1:25 Adding vectors, commutativity
3:25 Adding more than two vectors, associativity
4:51 Adding vectors in 3D space
5:51 Scaling vectors
6:46 Subtracting vectors
8:21 Vectors in coordinate systems, component and matrix notation
10:39 Position vectors

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