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Adding Vectors with Given Magnitude and Direction

Adding Vectors with Given Magnitude and Direction
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2016-02-22 10:33
VectorCoordinate GeometryGeometric Construction
This example demonstrates the addition of vectors given their magnitude and direction. Key mathematical concepts include vector addition, angles, and coordinate geometry. Using GeoGebra commands such as Vector, Angle, and Textfield, the process of vector synthesis and its result is visually illustrated. Suitable for high school mathematics education and learning vector-related knowledge.

GeoGebra Commands & Parameters

  1. Vector(D) → V
  2. Textfield(MagV) → InputBox1
  3. Vector((1, 0)) → HorizontalPointer
  4. Angle(HorizontalPointer, V) → alpha
  5. Vector(((MagV * cos(α)), 0)) → Vx
  6. Vector((0, (MagV * sin(α)))) → VyPointer
  7. Vector(B, Point[B, VyPointer]) → Vy
  8. Textfield(MagU) → InputBox2
  9. Vector(D, E) → U
  10. Vector(D, F) → Ux
  11. Vector(F, E) → Uy
  12. Vector(E) → Resultant
  13. Vector((0, y(E))) → Ry
  14. Vector(G, E) → Rx
  15. Vector(D, (x(D) + 1, y(D))) → betavector
  16. Angle(betavector, U) → beta_1
  17. Textfield(MagV) → InputBox1_1
  18. Textfield(MagV) → InputBox1_2