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Linear combinations of vectors using a triangle

Linear combinations of vectors using a triangle
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2017-10-26 22:07
TriangleVectorGeometric Construction
This example demonstrates how to perform linear combinations of vectors using a triangle. Key math concepts involved include vectors, linear equations, and geometric transformations. Construction highlights involve using GeoGebra commands like Vector, Segment, Intersect, and Translate to create vectors, segments, intersection points, and translations. Suitable for high school and above students to learn and understand the geometric meaning of vector operations and linear combinations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Segment(C, B) → f
  4. Vector(A, D) → w
  5. Intersect(xAxis, yAxis) → E
  6. Translate(E, w) → E'
  7. Vector(E, E') → a