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Lecture
Analytical Geometry: Coordinates and Midpoints
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Linear Algebra: Applications and Definitions
Explores linear algebra concepts, mappings between sets, unique element matches, and reciprocal functions.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Parametric Equations: Benchmark of Observation
Explores parametric equations and their dependence on the choice of observation benchmarks.
Analytical Geometry: Symmetry of Vectors
Explores the symmetry of vectors with respect to a line in Analytical Geometry.
Analytical Geometry: Reflection and Symmetry
Explores Analytical Geometry, emphasizing reflection and symmetry in matrices and planes.
Geometric Transformations: Reflections and Translations
Explores reflections and translations in geometric transformations, demonstrating their stability and practical applications.
Analytical Geometry: Triangle Properties
Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.
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Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.
Guiding Vectors in Analytical Geometry
Explores guiding vectors in analytical geometry, emphasizing the importance of non-collinear and non-coplanar vectors in defining coordinate systems.
Analytical Geometry: Proof of Exercise 5
Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.