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TNB Frame and Planes

TNB Frame and Planes
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2019-02-13 22:52
VectorCoordinate GeometrySolid GeometryCalculus
This example demonstrates the relationship between the TNB frame (tangent, normal, and binormal vectors) and planes. Core mathematical concepts include vector operations, spatial geometry, and differential geometry. It is constructed using GeoGebra's CurveCartesian and Vector commands, with objects like r, A, T, N, u, B, a, b. Suitable for university students and researchers in mathematics, physics, or engineering.

GeoGebra Commands & Parameters

  1. CurveCartesian(cos(t), sin(t), t, t, 0, 10) → r
  2. Vector(A, A + (0, -1 / sqrt(2), 1 / sqrt(2))) → T
  3. Vector(A, A + (1, 0, 0)) → N
  4. Vector(A, A + (0, 0.71, 0.71)) → B