Vector Operations and Geometry

Related lectures (31)

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Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

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

Introduces vector definitions, displacement, addition, and applications in geometry.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

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

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Explores the properties of orthonormal vectors in Euclidean space through key equations and demonstrations.