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Linear Combination of Vectors in Space

Linear Combination of Vectors in Space
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2015-11-13 09:20
VectorCoordinate GeometrySolid Geometry
In collections Book: Vectors, vectors, vectors everywhere...
This example demonstrates the linear combination of vectors in space. Key mathematical concepts include vectors, space coordinates, and linear combinations. Using GeoGebra commands such as Vector, Plane, and Segment, the dynamic effect of vector linear combinations is shown. Suitable for high school and above students learning solid geometry and vector knowledge.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Vector(A, D) → kombinacja
  4. Plane(A, B, C) → c
  5. Segment(C1, D) → f
  6. Segment(D1, D) → g
  7. Vector(A, A + (a * u)) → d
  8. Vector(A, A + (b * v)) → e
  9. Polygon(A, C1, D, D1) → wielo, a_1, c1, d_1, d1