3D Vector Magnitude Calculation

3D Vector Magnitude Calculation
Loading the math board and drawing, please wait…
2019-10-18 22:37
This example demonstrates the calculation of the magnitude of a vector in three-dimensional space. The core mathematical concepts involved include vectors, vector magnitude, three-dimensional coordinate systems, and the Pythagorean theorem. The construction highlights the use of GeoGebra commands and objects such as Intersect (intersection), Vector (vector), OrthogonalLine (orthogonal line), Line (line), Segment (segment), and Angle (angle). It is suitable for high school and above students to learn and understand the properties and applications of vectors in three-dimensional space.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → B
  2. Vector(B, P) → u
  3. OrthogonalLine(P, xOyPlane) → f
  4. Intersect(f, xOyPlane) → C
  5. Line(C, xAxis) → g
  6. Intersect(g, yAxis) → D
  7. Segment(B, C) → h
  8. Segment(B, D) → i
  9. Segment(D, C) → j
  10. Segment(C, P) → k
  11. Angle(B, D, C) → α
  12. Angle(B, C, P) → β