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Equal Vectors by Joshua Capel

Equal Vectors by Joshua Capel
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2017-06-06 07:50
VectorCoordinate GeometryGeometric Construction
In collections PD day Applications of Vectors
This example illustrates the concept of equal vectors. Vectors are quantities with both magnitude and direction, and equal vectors have the same magnitude and direction. Using GeoGebra commands Vector and Translate, equal vectors can be constructed. This example is suitable for students at the middle school level and above to learn the basic concepts of vectors.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Translate(C, u) → C'
  3. Vector(C, C') → v
  4. Translate(H, u) → H'
  5. Vector(H, H') → w
  6. Translate(I, u) → I'
  7. Vector(I, I') → a
  8. Translate(D, u) → D'
  9. Vector(D, D') → b
  10. Translate(E, u) → E'
  11. Vector(E, E') → c
  12. Translate(F, u) → F'
  13. Vector(F, F') → d
  14. Translate(G, u) → G'
  15. Vector(G, G') → e

AI Drawing Prompt Reference

Draw two vectors u and v with the same magnitude and direction. Start from point C and move along the direction of vector u to get point C', then draw vector v from C'. Next, start from point H and move along the direction of vector u to get point H', then draw vector w from H'. Repeat this process for points I, D, E, F, and G to get points I', D', E', F', and G', and draw vectors a, b, c, d, and e respectively.
The prompt above was compiled from the original drawing commands and is for reference only.