Planes & Vectors 3D Demo

Planes & Vectors 3D Demo
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2016-09-22 05:05
This example demonstrates various types of planes and vectors in three-dimensional space, including vector representations in 2D and 3D, circle arcs, and secant lines. Key math concepts involve 3D vectors, cosine theorem, coordinate geometry, and geometric constructions. It uses GeoGebra commands like CircleArc, Point, Segment, Angle, and CurveCartesian, as outlined in the construction summary. Suitable for high school and above students to learn and understand solid geometry, vectors, and coordinate geometry, ideal for teaching demonstrations and geometric intuition.

GeoGebra Commands & Parameters

  1. CircleArc(C, F, G) → c
  2. Point(c) → H
  3. Segment(C, H) → j
  4. Angle(F, C, H) → α
  5. CurveCartesian((V0_x * t), (V0_y * t) - ((0.5 * 9.8) * t^(2)), t, 0, (2 * V0_y / 9.8)) → a
  6. Segment(A, D) → g
  7. Segment(X, E) → h
  8. Segment(Y, E) → f
  9. Segment(B, A) → i
  10. Segment(F, C) → k