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Translation Demonstration by Nurazreen Mohd Tahir

Translation Demonstration by Nurazreen Mohd Tahir
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2017-10-01 13:51
VectorFunctionSolid GeometryCalculus
This example demonstrates vector translation in three-dimensional space and its effect on points. Core math concepts include vectors, points, translation transformations, polynomial functions, cosine functions, 3D vectors, calculus, and algebra. Constructed using GeoGebra commands/objects: Vector, Point, Translate, and objects text1, F, H, v, text2, I, J, u, A, B, C, D, E, D', B'. Suitable for high school and above mathematics education, helping students understand and apply vector transformations and function graphs in 3D space.

GeoGebra Commands & Parameters

  1. Vector(F, H) → v
  2. Vector(I, J) → u
  3. Point(yAxis) → B
  4. Translate(D, u) → D'
  5. Translate(B, v) → B'

AI Drawing Prompt Reference

Demonstrate vector translation in 3D space with two vectors, a point, and two new points obtained by translating the original point using the vectors, using arrows for vectors and solid lines for original and translated points to clearly show the translation process and results.
The prompt above was compiled from the original drawing commands and is for reference only.