Interactive Investigation of Dot Product by tobibrooks

Interactive Investigation of Dot Product by tobibrooks
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2019-04-05 22:17
This example demonstrates the dot product of two vectors, visually exploring the relationship between the dot product and the angle between vectors by dynamically adjusting their directions and magnitudes. Core math concepts include vector dot product formula, vector length, vector angle, and the cosine theorem. GeoGebra commands like Vector, Angle, and Distance are used to construct vectors u, v, auxiliary points, and texts. Suitable for high school students learning vectors and trigonometry, or university foundational mathematics education.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Angle(B, A, C) → α
  4. Distance(A, B) → distanceAB
  5. Distance(A, C) → distanceAC
  6. Angle(B, A, C) → β
  7. Angle(B, A, C) → γ