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Adding Two Vectors

Adding Two Vectors
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2017-02-28 10:21
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to use GeoGebra to illustrate the addition of two vectors. Key mathematical concepts include vector addition, length, and angle. Using commands like Vector, Length, and Angle, the geometric meaning of vectors is vividly shown. Suitable for students at the junior high school level and above to learn basic vector operations.

GeoGebra Commands & Parameters

  1. Vector(c, d) → B
  2. Length(B) → magB
  3. Angle(Line[c, xAxis], Line[c, d]) → angleB
  4. Vector(a, b) → A
  5. Vector(a, (x(b), y(a))) → Ai
  6. Vector((x(b), y(a)), b) → Aj
  7. Angle(Line[a, xAxis], Line[a, b]) → angleA
  8. Segment(C, D) → f
  9. Segment(F, G) → g
  10. Vector(c, (x(d), y(c))) → Bi
  11. Vector((x(d), y(c)), d) → By_1
  12. Length(A) → magA
  13. Textfield(A_i) → inputAx
  14. Textfield(A_j) → inputAy
  15. Textfield(sumi) → sum_i
  16. Textfield(sumj) → sum_j
  17. Textfield(B_i) → InputBx
  18. Textfield(By) → InputBy
  19. Vector(Rstart, Rend) → Rvec
  20. Vector(Rstart, (x(Rend), y(Rstart))) → Rx
  21. Vector((x(Rstart) + sumi, y(Rstart)), Rend) → Ry

AI Drawing Prompt Reference

Draw two vectors A and B, and their resultant vector. First, draw vector A, then draw vector B, and next calculate and draw the resultant vector of A and B. Also, mark the length and angle with the x-axis for each vector.
The prompt above was compiled from the original drawing commands and is for reference only.