Visualize Linear Combinations of Vectors

Visualize Linear Combinations of Vectors
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2015-02-10 10:02
In collections Linear Algebra
This example demonstrates how to visualize the span of a set of vectors in the plane by taking linear combinations of 1, 2, or 3 vectors. Key mathematical concepts include vectors and linear combinations. GeoGebra commands used include: Textfield, Vector; objects: n, inputBox1, x1, x2, x3, y1, y2, y3, v1, v2, v3, c1, c2, c3, inputBox3, inputBox4, inputBox5, inputBox6, inputBox7, inputBox2, lc1, lc2, lc3, button1. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Textfield(n) → inputBox1
  2. Vector((x1, y1)) → v1
  3. Vector((x2, y2)) → v2
  4. Vector((x3, y3)) → v3
  5. Textfield(y1) → inputBox3
  6. Textfield(x2) → inputBox4
  7. Textfield(y2) → inputBox5
  8. Textfield(x3) → inputBox6
  9. Textfield(y3) → inputBox7
  10. Textfield(x1) → inputBox2