Guiding Vectors in Analytical Geometry

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Covers landmarks, guiding vectors, and the abscissa concept in vector spaces.

Explores Cartesian equations of planes in space and their applications to metric problems.

Explores the locus of points in a square and angles between them.

Covers vector equations of lines in analytical geometry, including finding intersection points and orthogonal projections.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explores relative positions of lines in space, discussing parallel, secant, and confused lines.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.