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Vector fields in polar coordinates A vector field in polar
Chapter 14, Problem 54AE(choose chapter or problem)
QUESTION:
Vector fields in polar coordinates A vector field in polar coordinates has the form \(\mathbf{F}(r, \theta)=f(r, \theta) \mathbf{u}_{r}+g(r, \theta) \mathbf{u}_{\theta}\). Where the unit vectors are defined in Exercise 52. Sketch the following vector fields and express them in Cartesian coordinates.
\(\mathbf{F}=\mathbf{u}_{r}\)
Questions & Answers
QUESTION:
Vector fields in polar coordinates A vector field in polar coordinates has the form \(\mathbf{F}(r, \theta)=f(r, \theta) \mathbf{u}_{r}+g(r, \theta) \mathbf{u}_{\theta}\). Where the unit vectors are defined in Exercise 52. Sketch the following vector fields and express them in Cartesian coordinates.
\(\mathbf{F}=\mathbf{u}_{r}\)
ANSWER:Solu