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Adding Vectors by Malin Christersson

Adding Vectors by Malin Christersson
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2019-02-25 23:34
VectorCoordinate GeometryGeometric Construction
This example demonstrates the process of adding vectors. Key mathematical concepts include the geometric representation and addition of vectors. Using GeoGebra commands such as Vector, Intersect, Point, Translate, and Segment, the geometric meaning of vector addition is visually illustrated. Suitable for students at the middle school level and above to learn basic concepts and operations of vectors.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(B, C) → v
  3. Vector(A, C) → w
  4. Intersect(xAxis, yAxis) → D
  5. Point(xAxis) → E
  6. Vector(D, E) → a
  7. Translate(A, a) → A'
  8. Vector(A, H) → b
  9. Vector(F, G) → c
  10. Vector(A', F) → d
  11. Vector(H, I) → e
  12. Vector(H, J) → f
  13. Vector(A', G) → g
  14. Vector(H, K) → h
  15. Segment(I, K) → i
  16. Segment(J, K) → j

AI Drawing Prompt Reference

Draw two vectors u and v, then show their sum vector w. Next, draw the intersection point D of the x-axis and y-axis, and take point E on the x-axis to construct vector a. Translate point A along vector a to get A', then draw vectors b and c, and vector d from A' to F. Finally, draw vectors e and f from H to I and J, vector g from A' to G, and vector h from H to K, and connect points I and K, and J and K.
The prompt above was compiled from the original drawing commands and is for reference only.