How Magnitude of Cross Product Changes with Angle

How Magnitude of Cross Product Changes with Angle
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2017-06-02 22:46
This example demonstrates the relationship between the magnitude of a cross product and the angle between two vectors. Key math concepts include cross product, vector magnitude, and angle measurement. It is constructed using GeoGebra commands like Intersect, Point, Vector, Rotate, and Angle, making it suitable for high school and above students to explore vector operations and spatial geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Vector(A, B) → u
  4. Rotate(B, α, A, xOyPlane) → B'
  5. Angle(B, A, B', xOyPlane) → β
  6. Vector(A, B') → v