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Two Planes by Norm Prokup

Two Planes by Norm Prokup
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2016-07-21 04:15
VectorCoordinate GeometrySolid Geometry
This example demonstrates the intersection line of two planes. It involves concepts from coordinate geometry such as plane equations and vectors. Using commands like PointIn, Vector, and CurveCartesian, the intersection line of two planes can be constructed. Suitable for high school and above students learning solid geometry.

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

AI Drawing Prompt Reference

Draw the intersection line of two planes. First, define two points A and B. Then, draw vector u from point A in the direction of (-1, 2, 3), and draw vector v from point B in the direction of (2, 3, -1). Finally, use vectors u and v to construct a parametric curve c representing the intersection line of the two planes.
The prompt above was compiled from the original drawing commands and is for reference only.