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Vector Definition 2D

Vector Definition 2D
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2019-10-10 06:24
VectorCoordinate GeometryGeometric Construction
This example demonstrates the basic definition and representation of 2D vectors, involving core math concepts like vector coordinates, real number operations, linear regression, fractions, cubes, and piecewise functions. It utilizes GeoGebra commands such as Intersect, Vector, Midpoint, and Point with objects like O, c, d, g, t, s, u, f, B, C, text2, D, E, text3, A, text4, F, G, w, v, text1 for construction. Suitable for high school students learning the geometric and algebraic meaning of 2D vectors in linear algebra and analytical geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector((d, 0), (d, c)) → g
  3. Vector((0, 0), (d, c)) → u
  4. Vector((0, 0), (d, 0)) → f
  5. Midpoint(O, B) → C
  6. Midpoint(B, D) → E
  7. Midpoint(O, D) → A
  8. Point(xAxis) → F
  9. Point(yAxis) → G

AI Drawing Prompt Reference

Draw a 2D vector diagram with origin O and vectors g, u, f. Vector g goes from (d,0) to (d,c), u from (0,0) to (d,c), and f from (0,0) to (d,0). Then plot points B, C, D, E, and A, where B is the midpoint of O and D, C is the midpoint of O and B, D is the midpoint of O and E, E is the midpoint of B and D, and A is the midpoint of O and D. Finally, take points F and G on the x-axis and y-axis respectively.
The prompt above was compiled from the original drawing commands and is for reference only.