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Lecture
Analytical Geometry: Vectors and Operations
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Vectors: Definitions and Operations
Introduces vector definitions, displacement, addition, and applications in geometry.
Analytical Geometry: Oriented Angles
Explores oriented angles in analytical geometry, discussing unit vectors, trigonometric functions, matrix representations, and rotations.
Analytical Geometry: Rotation and Center
Explores rotation in analytical geometry, including center coordinates and fixed points.
Analytical Geometry: Symmetry of Vectors
Explores the symmetry of vectors with respect to a line in Analytical Geometry.
Linear Dependence of Vectors
Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.
Advanced Physics I: Definitions and Motion
Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.
Analytical Geometry: Cartesian Equations
Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Vector Geometry: Basics and Applications
Explores vector geometry basics, historical perspectives, and practical applications.
Analytical Geometry: Intersections and Medians
Covers Analytical Geometry, focusing on intersections and medians, providing step-by-step solutions for various cases.