Tangent Plane to Sphere by Norm Prokup
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This example demonstrates the tangent plane at any point on a sphere and its relationship with the sphere. Core math concepts include sphere equation, tangent plane equation, vector product, and spatial analytical geometry. Construction highlights involve commands like Random, Segment, Sphere, Vector in GeoGebra. Suitable for high school and above students to learn about spatial geometry and the concept of tangent planes in calculus.
GeoGebra Commands & Parameters
Random(-5, 5) → xcRandom(-5, 5) → ycRandom(-5, 5) → zcRandom(-5, 5) → xpRandom(-5, 5) → ypRandom(-5, 5) → zpSegment(C, P) → rSphere(C, r) → sVector(C, P) → u