Vector Addition and Subtraction Simulation by dixiemath

Vector Addition and Subtraction Simulation by dixiemath
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2020-01-15 10:16
This interactive GeoGebra simulation demonstrates the geometric addition and subtraction of two vectors u and v, showing the resultant vector w = u+v and the difference vector u-v in real time. Users can drag vector endpoints or input numerical values to observe how the sum and difference change dynamically. Core mathematical concepts include vector representation, the parallelogram law, the triangle law, and coordinate-wise vector operations. The construction uses the Vector command to create vectors u, v, and w, the Intersect command for point intersections, sliders and input boxes (InputBox1-5) for parameter control, Segment and Angle objects to display magnitudes and angles, and buttons (button1, button2) to toggle between addition and subtraction modes. Suitable for high school and early college students learning vector operations, as well as for classroom demonstrations or self-study exploration of vector properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Vector(C, B) → u
  3. Vector(C, A) → v
  4. If(d, Vector[u + v], Vector[v - u]) → w
  5. Textfield(Θ_1) → InputBox1
  6. Textfield(Θ_1) → InputBox2
  7. Textfield(r_1) → InputBox3
  8. Textfield(Θ_2) → InputBox4
  9. Textfield(r_2) → InputBox5
  10. Segment(A, C) → a
  11. Segment(A, D) → b
  12. Segment(B, D) → c
  13. Angle((100, 0), (0, 0), D) → α
  14. Segment(E, D) → f