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Scalar Product of Vectors

Scalar Product of Vectors
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2017-11-22 16:07
VectorCoordinate GeometryGeometric Construction
This example demonstrates the calculation and visualization of the scalar (dot) product of two vectors. It involves core mathematical concepts like vectors, dot product operations, and coordinate geometry. The construction uses GeoGebra commands/objects such as Vector, Translate, etc. Suitable for high school students learning vectors and geometry.

GeoGebra Commands & Parameters

  1. Vector((-2, 2, 0), (2, 3, 3)) → u_1
  2. Translate(A, u_1) → A'
  3. Vector(A, A') → v_1
  4. Translate(B, w) → B'
  5. Vector(B, B') → a
  6. Vector(A, A') → u
  7. Vector(C, D) → v
  8. Translate(F, d) → F'
  9. Vector(F, F') → e

AI Drawing Prompt Reference

Draw two vectors u and v starting from points A and C, respectively. Point A is translated to A' using vector u, and point C is translated to D using vector v. Then, translate point B to B' to get vector a, and translate point F to F' to get vector e. Finally, show the dot product of vectors u and v.
The prompt above was compiled from the original drawing commands and is for reference only.