Vector Addition and Subtraction by loreang98

Vector Addition and Subtraction by loreang98
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2015-09-29 09:44
This example demonstrates the geometric meaning of vector addition and subtraction, visually showing the process of vector composition and decomposition through graphics. The core mathematical concepts involved include vectors, geometric construction, and the parallelogram and triangle laws of vector operations. It utilizes GeoGebra commands/objects such as Intersect (intersection), Vector (vector), If (conditional logic), Textfield (text input), Segment (line segment), and Angle (angle). Suitable for high school mathematics teaching to help students understand the geometric essence of vector operations and enhance spatial reasoning skills.

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