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Vector Equation of a Plane 3D

Vector Equation of a Plane 3D
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2014-11-06 20:56
VectorCoordinate GeometrySolid Geometry
This example demonstrates the vector equation of a plane in 3D space and its visualization. Key math concepts include vectors, points, plane equations, and parametric equations. It is constructed using commands like Vector, Line, Plane, with objects such as μ, λ, C, O, P. Suitable for high school and university students learning spatial geometry and vector mathematics.

GeoGebra Commands & Parameters

  1. Vector(A, B) → b
  2. Vector(O, P) → r
  3. Vector(O, A) → a
  4. Vector(A, C) → c
  5. Line(A_2, B_1) → L_2
  6. Line(A_7, B_5) → L_3
  7. Plane(A, B, C) → k
  8. Vector(O, C) → u

AI Drawing Prompt Reference

Draw a plane in 3D space using vectors OA, OB, and OC to define the plane equation. First, draw vectors OA and OB, then draw vector OC through point O. Next, draw a line L2 through points A and B, and a line L3 through points A and C. Finally, define a plane k using points A, B, and C.
The prompt above was compiled from the original drawing commands and is for reference only.