Orthogonal projection of v over u by Louise Roy

Orthogonal projection of v over u by Louise Roy
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2017-09-26 03:03
This example demonstrates the orthogonal projection of vector v onto vector u. Key math concepts include vector projection, orthogonal lines, and coordinate geometry. It utilizes GeoGebra commands like Intersect, Line, Vector, OrthogonalLine, and Segment to construct the visualization. Suitable for high school and above, helping learners understand the geometric interpretation and calculation of vector projections.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Line(B, A) → i
  3. Vector(A, B) → u
  4. OrthogonalLine(C, u, xOyPlane) → f
  5. Vector(A, C) → v
  6. Intersect(i, f) → D
  7. Vector(A, D) → Projection
  8. Segment(C, D) → h