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Vector Equation of a Line by Peter Sassman

Vector Equation of a Line by Peter Sassman
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2017-02-08 15:43
VectorCoordinate GeometryParametric Equation
This example demonstrates the vector equation of a line. Key mathematical concepts include vectors, parametric equations, and coordinate geometry. Using GeoGebra commands such as Intersect, Vector, Circle, etc., the vector equation of a line can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, A) → u
  3. Circle(B, 1) → c
  4. Point(c) → C
  5. Vector(B, C) → b
  6. Segment(B, A) → a
  7. Point(a, n) → D
  8. Translate(D, b) → D'
  9. Vector(D, D') → b_1
  10. Dilate(D', t, D) → D''
  11. Vector(A, D'') → b_2
  12. Midpoint(D'', A) → E
  13. Segment(A, D'') → e
  14. Line(D', A) → Line
  15. Vector(O, D'') → v
  16. Midpoint(D'', O) → G

AI Drawing Prompt Reference

Draw the vector equation of a line. Start by creating point O at the origin, then select points A and B, create vector u from O to A, draw a unit circle with B as the center and select point C, create vector b from B to C, then create line segment AB and select point D, translate D along vector b to get D', create vector b_1, create line segment D'A, create line D'A, and finally create vector v and find the midpoint G between D'' and O.
The prompt above was compiled from the original drawing commands and is for reference only.