Dot Product: Definition and Geometric Interpretation

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Orthogonality and Least Squares Method

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

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Covers trigonometric functions, derivatives, differential equations, and vector properties.

Curves in the Oriented Plane

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Vector Calculus: Scalars and Vectors

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

Vector Products: Dot and Cross - Part 2

Covers the concepts of dot and cross products of vectors and their applications.

Rectilinear Movement: Vectors and Scalars

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

Scalar Product: Algebraic Properties

Explores the algebraic properties of the scalar product and their geometric implications.

Scalar Product and Vectors

Introduces vector components, scalar and vector products, and their properties, including colinear and coplanar vectors, and the rule of the right hand.

Scalar Product: Geometric Properties

Covers the definition and geometric properties of scalar product between vectors.

Signal Representations

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.