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Vector Resolution Demo by user28626

Vector Resolution Demo by user28626
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2014-06-03 00:43
VectorCoordinate GeometryGeometric Construction
This example demonstrates how vector u can be resolved along two perpendicular directions. It involves core math concepts like vectors, geometric construction, and decomposition in a right-angle coordinate system. Constructed using GeoGebra commands/objects such as Vector, Line, OrthogonalLine, and Intersect. Suitable for high school students and teachers learning vector resolution.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Line(A, C) → a
  3. OrthogonalLine(B, a) → b
  4. OrthogonalLine(A, a) → c
  5. OrthogonalLine(B, b) → d
  6. Intersect(a, b) → D
  7. Intersect(c, d) → E
  8. Vector(A, D) → v
  9. Vector(A, E) → w

AI Drawing Prompt Reference

In a right-angle coordinate system, draw a vector u, then a line a starting from its initial point. From the endpoint of u and line a, draw two perpendicular lines b and c. Then, from the endpoint of u and line b, draw another perpendicular line d. Find the intersection points D (line a and b) and E (line c and d). Draw vectors v and w from the initial point to D and E respectively.
The prompt above was compiled from the original drawing commands and is for reference only.