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Linear Combinations of Vectors

Linear Combinations of Vectors
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2018-10-24 22:57
VectorCoordinate GeometryGeometric Construction
This example demonstrates the linear combination of 2D vectors and its geometric representation, allowing dynamic adjustment of vector coefficients to observe the resulting vector's changes. Key mathematical concepts include vector addition, scalar multiplication, linear combinations, and 2D space representation. GeoGebra commands and objects used in construction are Vector, OrthogonalLine, Ray, and Segment. Suitable for high school mathematics teaching to understand vector operations and spatial geometric relationships.

GeoGebra Commands & Parameters

  1. Vector(C, u) → u_1
  2. Vector(C, v) → v_1
  3. OrthogonalLine(u, v_1) → f
  4. Ray(C, v) → g
  5. Segment(C, u) → h
  6. Segment(C, v) → i
  7. Vector(C, A) → w
  8. Vector(C, B) → c
  9. Vector(C, D) → d