Let Ä E R?. Let V be a vector field and C be a curve. Show that ds. Integration of a vector function is defined to be the vector given by integrating each component. That is: Self, g) ds is by definition equal to (Se f ds, Se 9 ds).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I dont know how to do this vector field function, thanks

Let Ä E R?. Let V be a vector field and C be a curve. Show that
Ā.
V ds =
Ả· V ds.
Integration of a vector function is defined to be the vector given by
integrating each component. That is: felf, 9) ds is by definition equal
to (Se f ds, Se g ds).
Transcribed Image Text:Let Ä E R?. Let V be a vector field and C be a curve. Show that Ā. V ds = Ả· V ds. Integration of a vector function is defined to be the vector given by integrating each component. That is: felf, 9) ds is by definition equal to (Se f ds, Se g ds).
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