Scalar Product: Geometric Properties

Related lectures (31)

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Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Covers the fundamental concepts of vectors, including their characteristics and calculation methods.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Explores vector geometry basics, historical perspectives, and practical applications.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Introduces scalar product, parallelism of vectors, and rate of change of a product.

Covers the dot product between vectors and orthogonal projections.

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.