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Intersection and Angle Between Two Lines in 3D Space

Intersection and Angle Between Two Lines in 3D Space
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2020-02-10 13:00
AngleCoordinate GeometrySolid Geometry
This example demonstrates how to find the intersection point and the angle between two lines in 3D space. Key mathematical concepts include the equations of lines in coordinate geometry and angle calculation. Using GeoGebra commands such as Line, Intersect, and Angle, the example provides a visual representation of these concepts. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Line(A, B) → L_1
  2. Line(C, D) → L_2
  3. Textfield(A) → InputBox1
  4. Textfield(B) → InputBox2
  5. Textfield() → InputBox3
  6. Textfield(C) → InputBox4
  7. Textfield(D) → InputBox5
  8. Textfield(A) → InputBox6
  9. Textfield(B) → InputBox7
  10. Intersect(L_1, L_2) → X
  11. Angle(L_1, L_2) → α
  12. Angle(dd, dl2) → β
  13. LaTeX(β, true, true) → text15
  14. Line((0, 0, 0), DD) → k
  15. Line((0, 0, 0), DL2) → l
  16. Angle(k, l) → γ