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Vector Addition (Parallelogram Law)

Vector Addition (Parallelogram Law)
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2018-05-04 02:09
VectorCoordinate GeometryGeometric Construction
This example demonstrates vector addition using the parallelogram law. Key mathematical concepts include vectors and geometry. Using GeoGebra commands such as Vector, Translate, Intersect, etc., the geometric figure of vector addition is constructed. Suitable for students at the junior high school level and above to learn about vector addition.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Translate(u, (0, 0)) → w
  4. Translate(v, (0, 0)) → r
  5. Midpoint(A, B) → E
  6. Midpoint(C, D) → F
  7. Midpoint(G, J) → K
  8. Midpoint(G, I) → L
  9. Line(J, r) → f
  10. Line(I, w) → g
  11. Intersect(f, g) → M
  12. Segment(I, M) → h
  13. Segment(J, M) → i
  14. Point(h) → N
  15. Point(i) → O
  16. Segment(I, N) → j
  17. Segment(J, O) → k
  18. Midpoint(G, M) → P

AI Drawing Prompt Reference

Draw two vectors u and v with starting points at A and C respectively. Then construct the endpoints B and D for vectors u and v, and their midpoints E and F. Next, construct the parallelogram of vectors u and v by connecting G and J, G and I, and their midpoints K and L. Finally, draw the resultant vector by connecting I and M, J and M, and the midpoint P of G and M.
The prompt above was compiled from the original drawing commands and is for reference only.