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Centroid of Three Vectors

Centroid of Three Vectors
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2019-04-17 10:23
TriangleVectorGeometric Construction
This example demonstrates the centroid of three vectors. By constructing three vectors, we can find their centroid. Commands used include Point and Plane. Suitable for high school mathematics, particularly vector and geometry lessons.

GeoGebra Commands & Parameters

  1. Point({2, -2, 2}) → c
  2. Point({-1, 3, 2}) → b
  3. Point({3, 3, 1}) → a
  4. Plane(b, c, a) → α

AI Drawing Prompt Reference

Draw three vectors a, b, and c with coordinates (3, 3, 1), (-1, 3, 2), and (2, -2, 2) respectively, and then construct a plane α through these three vectors.
The prompt above was compiled from the original drawing commands and is for reference only.