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18-19 Navarra Selectividad A2 Vector Problem

18-19 Navarra Selectividad A2 Vector Problem
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2019-06-07 23:09
VectorCoordinate GeometrySolid Geometry
This example demonstrates a vector problem from the 18-19 Navarra Selectividad A2 exam. Key mathematical concepts include vectors, distance calculation, and coordinate geometry. Using GeoGebra commands such as CurveCartesian, Line, and Distance, the example constructs vectors r and s, and calculates the distance between points P and Q. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. CurveCartesian(1 + (3 * λ), -1 - (2 * λ), (2 * λ), λ, -20, 20) → r
  2. CurveCartesian(-1 + β, 1 + (2 * β), 1 + (2 * β), β, -20, 20) → s
  3. Line(P, Q) → f
  4. LaTeX(p, true, true) → text5
  5. Distance(P, Q) → distancePQ

AI Drawing Prompt Reference

Draw a 3D coordinate system with two spatial lines. The first line passes through point (1,-1,0) with direction vector (3,-2,2). The second line passes through point (-1,1,1) with direction vector (1,2,2). Mark points P on the first line and Q on the second line, connect them with a segment, and display the numeric distance between P and Q. Also show the parametric equations of both lines as text.
The prompt above was compiled from the original drawing commands and is for reference only.