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Linear Combinations Demo

Linear Combinations Demo
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2019-10-15 02:35
VectorFunctionCoordinate GeometryGeometric Construction
This example demonstrates linear combinations of 2D vectors using arrows and functions. Key math concepts include vectors, linear combinations, function graphs, rhombuses, and set theory. It leverages GeoGebra commands like Intersect, Vector, Textfield, and Point as per the construction summary. Ideal for high school and above to explore vector algebra and function properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → D
  2. Vector(D, B) → u
  3. Vector(D, C) → v
  4. Vector(D, E) → w
  5. Vector(D, F) → b
  6. Vector(F, E) → c
  7. Textfield(f) → InputBox1
  8. Textfield(g) → InputBox2
  9. Point(l) → G
  10. Point(k) → H

AI Drawing Prompt Reference

Draw a coordinate system with the origin O, where the x-axis is horizontal and the y-axis is vertical. Take point D on the x-axis and draw vectors u, v, w, and b from D to points B, C, E, and F respectively. Take point D on the y-axis and draw vector c from D to point E. Input function f in input box 1 and function g in input box 2, then plot the function graphs based on the inputs. Points G and H are on the function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.