Math 2.0

Differential geometry Concept

Tangent vector of a curve

Builds on Parametrised curve

Summary

The tangent vector of a differentiable parametrised curve at a parameter value is the derivative of the curve there. If the curve is the path of a moving point, the tangent vector is its velocity, and its length is the speed.

Reading path

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconceptTangent vector of a curve, concept, no evidence levelTangent vector of a c…concept
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Vector-valued function concept
  4. Parametrised curve concept
  5. Tangent vector of a curve concept

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Differentiable_curve, Tangent vector
About this page
Tag0ZCZK72B45
URIm2://0ZCZK72B45
Aliasesvelocity-vector
Kindconcept
WritingW0 stub
MSC53A04
UsesParametrised curve

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