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Basis Vectors, Linear Combinations, Span and Linear Independence/Dependence

Basis Vectors, Linear Combinations, Span and Linear Independence/Dependence
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2018-08-10 00:44
VectorCalculus
This example illustrates the concepts of basis vectors, linear combinations, span, and linear independence/dependence. It demonstrates vector addition and scalar multiplication through constructions. Commands like Vector and Midpoint are used. Suitable for college math courses or linear algebra study.

GeoGebra Commands & Parameters

  1. Vector(CurrentStart_u, CurrentEnd_u) → u
  2. Vector(CurrentStart_v, CurrentEnd_v) → v
  3. Midpoint(CurrentStart_u, CurrentEnd_u) → Mid_u
  4. Midpoint(CurrentStart_v, CurrentEnd_v) → Mid_v
  5. Vector(CurrentStart_u, CurrentEnd_v) → Res
  6. Vector(A) → u'
  7. Vector(A, C) → v'
  8. Midpoint((0, 0), A) → Mid_{u'}
  9. Midpoint(A, C) → Mid_{v'}
  10. Vector((0, 0), C) → Res'