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Line of Intersection between 2 Planes

Line of Intersection between 2 Planes
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2016-11-02 19:57
VectorCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the equation of the line of intersection between two planes, involving core concepts like plane equations, cross product, and coordinate geometry. It uses GeoGebra commands such as Textfield, OrthogonalVector, IntersectPath, and Angle to construct the intersection line, normal vectors, and angles. Suitable for high school students and mathematics enthusiasts learning spatial geometry and linear algebra.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. OrthogonalVector(π_1) → u
  5. Textfield(f) → InputBox4
  6. Textfield(g) → InputBox5
  7. Textfield(h) → InputBox6
  8. Textfield(j) → InputBox7
  9. Textfield(i) → InputBox8
  10. Textfield(a) → InputBox1_1
  11. Textfield(b) → InputBox2_1
  12. Textfield(c) → InputBox3_1
  13. Textfield(f) → InputBox4_1
  14. OrthogonalVector(π_2) → v
  15. IntersectPath(π_1, π_2) → l
  16. Angle(n, n_2) → α