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Negating Vectors Example

Negating Vectors Example
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2020-11-12 01:32
VectorFunctionSolid GeometryGeometric Construction
This example demonstrates the negating (opposite) of vectors in dimensions 1, 2, and 3. It involves core math concepts like vectors, linear functions, and 3D geometry. Construction uses GeoGebra commands Vector for objects v, v1, w, w1, u, d, u1 controlled by button1. Suitable for high school and above students to understand vector operations and spatial representation.

GeoGebra Commands & Parameters

  1. Vector((2, -1), (0, 0)) → v1
  2. Vector((2, 1, 1), (0, 0, 0)) → w1
  3. Vector((-4, 0), (0, 0)) → u1

AI Drawing Prompt Reference

Draw a 3D coordinate system showing three vectors and their opposites. First, in the 2D plane, draw a vector from the origin to point (2,-1), and its opposite from the origin to (-2,1), using different colors. Then, in 3D space, draw a vector from the origin to (2,1,1), and its opposite from the origin to (-2,-1,-1). Finally, in the 2D plane, draw a vector from the origin to (-4,0), and its opposite from the origin to (4,0). Represent opposites with dashed lines or reversed arrows, and label all start and end points.
The prompt above was compiled from the original drawing commands and is for reference only.