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Lecture
Analytical Geometry: Reflection and Symmetry
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Orthogonal Projections: Symmetry and Matrices
Explores orthogonal projections, symmetry of matrices, and their applications.
Analytical Geometry: Cartesian Equations
Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.
Analytical Geometry: Rotation and Center
Explores rotation in analytical geometry, including center coordinates and fixed points.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Analytical Geometry: Oriented Angles
Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.
Analytical Geometry: Symmetry of Vectors
Explores the symmetry of vectors with respect to a line in Analytical Geometry.
Analytical Geometry: Locus of Points in a Square
Explores the locus of points in a square and angles between them.
Analytical Geometry: Bisectors and Areas
Explores the properties of bisectors and areas in Analytical Geometry.
Analytical Geometry: Intersections and Medians
Covers Analytical Geometry, focusing on intersections and medians, providing step-by-step solutions for various cases.
Analytical Geometry: Normal Equations of Lines
Explores normal equations of lines in the plane through point translation for precision.