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P, Q and R Defining Position and Direction Vectors

P, Q and R Defining Position and Direction Vectors
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2019-05-03 06:55
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to define position and direction vectors using three points P, Q, and R. It shows how vectors can represent points and directions in space. Using GeoGebra commands Vector and Plane, these vectors are constructed. Suitable for high school math education and learning vector concepts.

GeoGebra Commands & Parameters

  1. Vector((0, 0), P) → u
  2. Vector(P, Q) → v
  3. Vector(Q, R) → w
  4. Plane(P, Q, R) → a

AI Drawing Prompt Reference

Draw a figure defined by three points P, Q, and R, including position vector u from the origin (0,0) to point P, direction vector v from point P to point Q, and direction vector w from point Q to point R. Finally, use these three points to define plane a.
The prompt above was compiled from the original drawing commands and is for reference only.