Vector Components Demo by Tom Walsh

Vector Components Demo by Tom Walsh
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2015-10-15 21:09
This example demonstrates how to dynamically display the x and y components of a vector by entering its magnitude and direction; core math concepts include vector decomposition, trigonometric functions, and coordinate geometry; construction highlights the use of GeoGebra commands/objects like Intersect, Vector, If, Textfield, Segment, and Angle; suitable for high school and above students to understand vector decomposition in Cartesian coordinates, and for physics teaching purposes.

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. Angle((100, 0), (0, 0), D) → α
  12. Segment(E, D) → f
  13. Segment(A, G) → b
  14. Segment(A, F) → c
  15. Vector((0, 0), G) → g
  16. Vector((0, 0), F) → h