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Negative Vector Components

Negative Vector Components
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2017-02-01 15:50
VectorFunctionCoordinate Geometry
In collections Vector Basics
This example demonstrates the components of a negative vector. It involves the concept of vectors and shows how to represent negative vectors through rotation operations. The commands used include Vector, Segment, Point, and Rotate. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Segment(A, C) → a
  3. Segment(C, B) → b
  4. Point(a, (2 * n_1)) → D
  5. Point(b, (2 * (n_1 - 0.5))) → E
  6. Rotate(B, 180°, A) → A'
  7. Segment(A, A') → e
  8. Point(e, n_2) → F
  9. Vector(A, F) → v
  10. Segment(A, G) → f
  11. Segment(G, A') → g
  12. Point(g, (2 * (n_3 - 0.5))) → I
  13. Point(f, (2 * n_3)) → H
  14. Segment(G, I) → i
  15. Vector(A, D) → c
  16. Vector(C, E) → d
  17. Vector(A, H) → h
  18. Vector(G, I) → w

AI Drawing Prompt Reference

Draw a vector and decompose it into components to demonstrate negative vector components. First, draw a vector and divide it into two segments, marking the endpoints. Then, obtain the negative vector of the original vector through rotation and draw it. Mark points on the extensions of the two segments and connect them to form new shapes. Finally, draw vectors from the origin to these points to show the relationships between the vector components.
The prompt above was compiled from the original drawing commands and is for reference only.