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Adding Vectors by Finding Components

Adding Vectors by Finding Components
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2011-12-15 01:05
VectorCoordinate GeometryGeometric Construction
In collections Vectors - Simmons
This example demonstrates how to combine two vectors by finding their components. It covers fundamental vector concepts such as vector decomposition and combination. Using GeoGebra commands like Vector, Angle, Point, etc., students can visually understand the geometric meaning of vectors. Suitable for high school mathematics, particularly vector courses.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → j
  3. Vector(E, F) → i
  4. Angle(u_x, u) → α
  5. Vector(B, G) → v
  6. Point(v) → H
  7. OrthogonalLine(B, xAxis) → a
  8. OrthogonalLine(A, a) → b
  9. Intersect(a, b) → I
  10. OrthogonalLine(G, xAxis) → c
  11. OrthogonalLine(B, c) → d
  12. Intersect(c, d) → J
  13. Angle(v_x, v) → β
  14. Vector(A, G) → r
  15. OrthogonalLine(G, xAxis) → e
  16. OrthogonalLine(A, e) → f
  17. Intersect(e, f) → K