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Find Intersection and Angle Between Line and Plane

Find Intersection and Angle Between Line and Plane
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2017-06-24 17:09
VectorCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to find the point of intersection and the angle between a line and a plane using GeoGebra. Key math concepts include spatial geometry, vector operations, and angle calculations. Construction highlights involve using Line, OrthogonalVector, Textfield, Intersect, and Angle commands. Suitable for high school students and educators for learning and teaching purposes.

GeoGebra Commands & Parameters

  1. Line((x(P), y(P), z(P)), Vector[(x(Q), y(Q), z(Q))]) → f
  2. OrthogonalVector(e) → u
  3. Textfield(a) → InputBox1
  4. Textfield(b) → InputBox2
  5. Textfield(c) → InputBox3
  6. Textfield(d) → InputBox4
  7. Line(P, B) → f_1
  8. Textfield(P_1) → InputBox5
  9. Textfield(Q) → InputBox6
  10. Intersect(f, e) → X
  11. Angle(f, e) → α