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Two Planes

Two Planes
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2016-07-21 04:20
VectorCoordinate GeometrySolid Geometry
This example demonstrates the intersection and spatial relationship between two planes. It involves core mathematical concepts such as plane equations, vector cross product, and spatial geometry. Construction highlights the use of GeoGebra commands and objects like PointIn (point on object), Vector (vector), CurveCartesian (Cartesian curve), and Factors (factorization). Suitable for high school solid geometry teaching and spatial visualization skills development.

GeoGebra Commands & Parameters

  1. PointIn(a) → A
  2. PointIn(b) → B
  3. Vector(A, A + (-1, 2, 3)) → u
  4. Vector(B, B + (2, 3, -1)) → v
  5. CurveCartesian(1 - (11 * t), 1 + (5 * t), 1 - (7 * t), t, -1, 1) → c
  6. Factors(2017) → matrix1
  7. Factors(2016) → matrix2
  8. Factors(2015) → matrix3
  9. Factors(2014) → matrix4
  10. Factors(2013) → matrix5
  11. Factors(2012) → matrix6
  12. Factors(2011) → matrix7
  13. Factors(2010) → matrix8
  14. Factors(12323459012384) → matrix9