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Vector Components

Vector Components
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2018-11-06 15:28
VectorCoordinate GeometryGeometric Construction
This example demonstrates defining a vector by moving point B and showing its magnitude and direction. Then, it calculates the X and Y components of the vector. Commands used include Vector, Segment, Point, Distance, Line, OrthogonalLine, Angle, and LaTeX. Suitable for high school math education and learning vector decomposition.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Segment(A, C) → a
  3. Point(a, t) → A'
  4. Segment(C, B) → b
  5. Point(b, t - 1) → B'
  6. Vector(A, A') → x_{com}
  7. Vector(C, B') → y_{com}
  8. Distance(A, B) → distanceAB
  9. Line(A, E) → f
  10. OrthogonalLine(A, f) → g
  11. Angle(E, A, B) → theta
  12. Distance(A, B) → c
  13. LaTeX(x_{com}, true, true) → text4
  14. LaTeX(y_{com}, true, true) → text5

AI Drawing Prompt Reference

Draw vector u from point A to point B, showing its magnitude and direction. Construct the X and Y components of vector u, x_{com} and y_{com}, using segments AC and CB and their points A' and B'. Calculate the length of vector u, distanceAB, and mark the angle theta formed between vector u and segment AC.
The prompt above was compiled from the original drawing commands and is for reference only.