Closest Point 1

Closest Point 1
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2019-11-18 09:58
In collections Exploring Orthogonality
This example demonstrates the problem of finding the closest point on a cone to a given point in 3D space. It involves core mathematical concepts such as coordinate geometry, vector operations, cone equations, and optimization. The construction uses GeoGebra commands like Line, Point, and Segment. Suitable for high school students and above learning applications of spatial geometry, vectors, and optimization problems.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → w
  3. Segment(x_0, w) → g