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Vectors in a Plane

Vectors in a Plane
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2017-02-07 04:19
VectorCoordinate GeometryOptimization
This example demonstrates the process of drawing, manipulating, and visualizing vectors in a plane. It involves core mathematical concepts such as vectors, logic, coordinates, ratios, quadratic equations, and optimization problems. The construction utilizes GeoGebra commands and objects like Vector, Textfield, Point, Length, and UnitVector. It is suitable for high school students learning and understanding vector-related concepts and their practical applications.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector((0, 0), (x(B) - x(A), y(B) - y(A))) → v
  3. Textfield(A) → inputBox1
  4. Textfield(B) → inputBox2
  5. Vector(A, (x(B), y(A))) → w
  6. Vector((x(B), y(A)), (x(B), y(B))) → z
  7. Vector((0, 0), (x(u), 0)) → b
  8. Point(b) → C
  9. Point(v) → D
  10. Vector(C, D) → d
  11. Length(u) → f
  12. UnitVector(u) → c