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3D Vector Line Intersections

3D Vector Line Intersections
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2019-05-31 21:02
VectorCoordinate GeometrySolid GeometryParametric EquationSlider Animation
In collections Vector Operations

GeoGebra Commands & Parameters

  1. Vector(A) → u
  2. Vector(A, (a + (t * d), b + (t * e), c + (t * f))) → L_1
  3. Vector(B) → w
  4. Vector(L_1t) → g
  5. Line(A, L_1t) → i
  6. Vector((d, e, f)) → h
  7. Vector((a, b), (a + (t * d), b + (t * e))) → j
  8. Line(D, E) → k
  9. Slope(k) → κ
  10. Vector((a, b), (a + d, b + e)) → u_1
  11. Vector(J, (l + (s * o), m + (s * p), n + (s * q))) → L_2
  12. Vector(J) → w_1
  13. Line(L_2s, J) → f_1
  14. Vector((o, p, q)) → v

AI Drawing Prompt Reference

Draw two vector-parameterized lines L1 and L2 in 3D space, where the direction vector of L1 is defined by point A and the direction vector of L2 is defined by point J. Use sliders t and s to control the parameters of lines L1 and L2, and toggle their display with buttons. Utilize points A, B, D, E, F, G, H to define lines and points, and display coordinates and equations with text objects.
The prompt above was compiled from the original drawing commands and is for reference only.