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Lecture
Analytical Geometry: Lines Study
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Analytical Geometry: Vectors
Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.
Vector Equations and Normal Equations
Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.
Analytical Geometry in Space: Chapter 8
Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.
Equations in Space: Cartesian Equations of Planes
Introduces Cartesian equations of planes in space and their parametric representations.
Analytical Study of Space
Covers the analytical study of space, focusing on points, lines, and planes.
Vector Equations in Analytical Geometry
Explores vector equations for lines in the plane and the concept of 'observation points'.
Vector Spaces in R2 and R3
Covers vector spaces in R2 and R3, including planes and lines.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Analytical Geometry: Vectors and Operations
Covers the fundamentals of analytical geometry, focusing on vectors and their operations.
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.