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Differentiable Vector Field It is not generally the case that all components of a vector field are differentiable, but obviously it is convenient to restrict attention to those vector fields that are. When the components of a vector field are all differentiable, then it is called a differentiable vector field.

Contents of Tangent Vectors and Vector Fields 1 Properties of the line integral 2 Vector Field 3 Tangent Vectors 4 Tangent Space 5 Addition and Scalar Multiplication of Tangent Vectors 6 Vector Fields and Tangent Spaces 7 Vector field lines 8 Differentiable Vector Field

Related articles: (1) Isomorphisms, (2) Directional derivatives and grad