Orientation (vector space)

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Related lectures (30)

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Vector Product: Family of Vectors Orientation

Explains conventions for vector orientation and rules of the right-hand.

Seventh Class: Analysis III

Covers the concept of orientation in Analysis III, focusing on the canonical orientation of edges and induced travel thresholds.

Segment Pose Analysis

Covers the analysis of segment pose in gait kinematics and provides examples of shank orientation and angle.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Isometries in Space: Orientation & Reflections

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Operations with Linear Applications

Covers operations with linear applications in vector spaces, providing illustrative examples.

Linear Dependence and Independence: Properties and Criteria

Covers the properties and criteria of linear dependence and independence in a vector space.

Regular Surfaces: Painting with Normal Vectors

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

Green Theorem Proof

Covers the proof of the Green theorem, showing how the integral of a vector field along a domain's boundary equals the integral of the curve within the domain.

Translations: Isometries and Compositions

Explores translations as compositions of reflections and their properties in preserving orientation, including the special case of identity.