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Vectors in R3 by James McMullan

Vectors in R3 by James McMullan
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2015-05-05 04:17
VectorCoordinate GeometrySolid Geometry
This example demonstrates vector representation, operations, and visualization in 3D space. It involves core mathematical concepts like vector addition, scalar multiplication, vector magnitude, 3D coordinate systems, and vector components. Constructed using GeoGebra commands such as Segment, Vector, and Polygon. Suitable for high school and university-level students learning vectors and solid geometry.

GeoGebra Commands & Parameters

  1. Segment(D, E) → d
  2. Segment(E, C) → e
  3. Segment(C, B) → h
  4. Segment(B, A) → l
  5. Segment(B, P) → m
  6. Segment(P, E) → n
  7. Segment(D, F) → p
  8. Segment(F, P) → q
  9. Segment(F, A) → r
  10. Vector(O, P) → u
  11. Polygon(O + (2 * i) + (2 * k), O + (2 * i) - (2 * k), O - (2 * i) - (2 * k), O - (2 * i) + (2 * k)) → P1, s, t, a_1, b_1
  12. Polygon(O + (2 * j) + (2 * k), O + (2 * j) - (2 * k), O - (2 * j) - (2 * k), O - (2 * j) + (2 * k)) → poly1, c_1, d_1, e_1, f_1
  13. Polygon(O + (2 * i) + (2 * j), O + (2 * i) - (2 * j), O - (2 * i) - (2 * j), O - (2 * i) + (2 * j)) → poly2, g_1, h_1, i_1, j_1

AI Drawing Prompt Reference

Visualize vector operations in 3D space with multiple vector segments and four polygons representing different directional vector regions. Connect key points with vector segments to form a clear geometric structure, demonstrating vector representation, operations, and visualization for understanding.
The prompt above was compiled from the original drawing commands and is for reference only.