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Vector Operations Demo

Vector Operations Demo
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2020-04-28 11:51
VectorCoordinate GeometryGeometric Construction
This example demonstrates basic vector operations including addition, subtraction, and scalar multiplication. It involves core math concepts like vectors, vector operations, and the fundamental theorem of vector algebra. Constructed using GeoGebra commands: Intersect, Vector, and Translate. Suitable for high school mathematics teaching and learning, ideal for beginners to understand the geometric meaning of vector operations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, B) → u
  3. Vector(A, C) → v
  4. Translate(B, v) → B'
  5. Vector(B, B') → a
  6. Translate(C, u) → C'
  7. Vector(C, C') → b

AI Drawing Prompt Reference

Draw two vectors u and v, and their addition result vectors a and b. Start by creating point A at the intersection of the x-axis and y-axis, then draw vectors u and v from point A. Next, translate point B along vector v to get point B', and draw vector a to represent the displacement from B to B'. Finally, translate point C along vector u to get point C', and draw vector b to represent the displacement from C to C'.
The prompt above was compiled from the original drawing commands and is for reference only.