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Position Vector of Midpoint of AB

Position Vector of Midpoint of AB
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2015-07-13 00:38
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the position vector of the midpoint of line segment AB using vectors and coordinate geometry. Key concepts include vectors and the use of the Vector command in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector((0, 0), (a, b)) → u
  2. Vector((0, 0), (c, d)) → v
  3. Vector((a, b), (c, d)) → w
  4. Vector((0, 0), ((a + c) / 2, (b + d) / 2)) → e
  5. LaTeX(w, true, true) → text1
  6. LaTeX(v, true, true) → text2
  7. LaTeX(u, true, true) → text3
  8. LaTeX(e, true, true) → text4