Decomposition of a VectorCovers the decomposition of a vector in a base and its applications in speed and distance calculations.
Vectors: Coordinate CalculationsCovers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.
Vector Calculus in 3DCovers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Scalar ProductExplains the concept of scalar product, its properties, and geometric interpretation.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Scalar Product and VectorsIntroduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.
Parts and Vectors in CoordinatesCovers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.