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Vectors: Unit Vector & Orthogonal

Vectors: Unit Vector & Orthogonal
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2017-04-21 22:21
AngleVectorGeometric Construction
In collections MTH-5173-2-St. Lawrence Seaway Vector Operations
This example illustrates the concepts of unit vectors and orthogonal vectors. It constructs vectors, points, circles, and angles to demonstrate basic vector properties. Commands used include Vector, Point, Circle, and Angle. Suitable for high school math education and learning about vector concepts.

GeoGebra Commands & Parameters

  1. Vector((a, b)) → u
  2. Point(v) → B
  3. Circle(B, 1) → c
  4. Angle(v, w) → α
  5. LaTeX($1) → text4
  6. LaTeX($2) → text5
  7. Vector(((-b), a)) → e
  8. LaTeX($3) → text7

AI Drawing Prompt Reference

Draw a vector u from the origin to point (a, b). Then, draw a unit circle at point B. Construct vector v and calculate the angle α between it and another vector w. Finally, draw vector e, which is the unit vector orthogonal to u.
The prompt above was compiled from the original drawing commands and is for reference only.