Vectors: Coordinate Calculations

Related lectures (29)

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Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.

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

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

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

Introduces scalars and vectors, explaining their properties and mathematical operations.

Covers vector spaces, bases, and decomposition of vectors in R³.

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

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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