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Vectors #1

Vectors #1
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2018-02-09 05:22
VectorTrigonometryCoordinate Geometry
This example demonstrates the basic concepts of vectors. It involves vectors, linear equations, polynomial functions, and trigonometry. Using GeoGebra commands such as Vector, Point, Ray, etc., it constructs vectors u and v and their relationships. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Vector((0, 0), (3, 7)) → u
  2. Vector((0, 0), (-5, -4)) → v
  3. Point(w) → A
  4. Point(xAxis) → B
  5. Ray(A, B) → f
  6. Point(u) → C
  7. Angle(B, A, C) → α
  8. Point(v) → D
  9. Angle(B, A, D) → β
  10. Point(w) → E
  11. Angle(B, A, E) → γ

AI Drawing Prompt Reference

Draw a coordinate plane with two vectors starting from the origin, one pointing to the upper right and the other to the lower left. Pick an arbitrary point on the plane as a common vertex, and a point on the x-axis. From the common vertex, draw a ray to the x-axis point. Then place points at the endpoints of both vectors, and also an arbitrary point on the plane. Measure and label the three angles formed between the ray and the lines from the common vertex to each of these three points.
The prompt above was compiled from the original drawing commands and is for reference only.