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3D Point, Vector, and Plane by Tuyetdong Phan-Yamada (2)

3D Point, Vector, and Plane by Tuyetdong Phan-Yamada (2)
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2020-07-21 07:18
VectorCoordinate GeometrySolid Geometry
In collections Exploring points, vectors and planes in 3D
This example demonstrates the concepts of points, vectors, and planes in three-dimensional space. Key mathematical concepts include vectors, planes, and the construction of points. It uses commands such as Segment, Vector, Translate, and OrthogonalPlane in GeoGebra. Suitable for high school or university-level solid geometry.

GeoGebra Commands & Parameters

  1. Segment(X, P) → f
  2. Segment(Y, P) → g
  3. Segment(A, P) → h
  4. Vector(O, N) → n_1
  5. Translate(A, n_1) → A'
  6. Vector(A, A') → n
  7. OrthogonalPlane(A, n) → p
  8. PointIn(p) → B
  9. PointIn(p) → C
  10. Vector(A, B) → u
  11. Vector(A, C) → v
  12. Angle(n, v) → t
  13. Angle(n, u) → k

AI Drawing Prompt Reference

Draw a 3D space with points, vectors, and a plane. Start by plotting points A, B, and P, then draw vectors n and n_1 from point P to points A and B respectively. Translate point A along vector n_1 to A', then draw vector n from A to A'. Construct plane p using point A and vector n, and select points B and C on plane p. Finally, draw vectors u and v from A to B and A to C, and calculate the angles between vectors n and u, n and v, denoted as t and k.
The prompt above was compiled from the original drawing commands and is for reference only.