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Position Vector

Position Vector
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2021-07-05 09:34
VectorCoordinate GeometryGeometric Construction
In collections MATH1052-edX
This example demonstrates the concept of position vectors. It involves key mathematical concepts such as vectors, points, and segments. Using GeoGebra commands like Spline, Vector, Point, and Segment, a dynamic model of position vectors is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Spline(L, 3) → c
  2. Vector(O, P1) → V1
  3. Vector(O, P2) → V2
  4. Vector(O, P) → V
  5. Point(c) → H
  6. Point(c) → I
  7. Segment(I, H) → f

AI Drawing Prompt Reference

Draw a coordinate system to demonstrate the concept of position vectors. First, plot a smooth curve through three points. Then, draw vectors from the origin to two points on the curve, and another vector from the origin to an arbitrary point on the curve. Mark two points on the curve and connect them with a line segment. Finally, mark another point on the curve and draw a vector from this point to the previously drawn line segment.
The prompt above was compiled from the original drawing commands and is for reference only.