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Lecture
Linear Dependence of Vectors
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Vectors: Definitions and Operations
Introduces vector definitions, displacement, addition, and applications in geometry.
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Covers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.
Linear Algebra: Linear Dependence and Independence
Explores linear dependence and independence of vectors in geometric spaces.
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Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.
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Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.
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Analytical Geometry: Oriented Angles
Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.
Analytical Geometry: Rotation and Center
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