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Answer: Vector fields in polar coordinates A vector field
Chapter 14, Problem 56AE(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 unite vectors are defined in Exercise 52. Sketch the following vector fields and express them in Cartesian coordinates.
\(\mathbf{F}=r \mathbf{u}_{\theta}\)
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 unite vectors are defined in Exercise 52. Sketch the following vector fields and express them in Cartesian coordinates.
\(\mathbf{F}=r \mathbf{u}_{\theta}\)
ANSWER:Solution 56AE