Suppose the vector field v(x, y, z) = (2z − 1) i + (−2y − 3) j+ (3z − 2) k represents the velocity field of a fluid. Find the circulation for v. dr, where C' is the triangle with vertices (4, 0, 0), (0, 2, 0), and (0, 0, 1), traversed in the given order. Enter an exact answer. Provide your answer below: Scv.dr =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Suppose the vector field v(x, y, z) = (2z − 1) i + (−2y − 3) j+ (3z − 2) k represents the velocity field of a fluid. Find
the circulation
for
v. dr, where C' is the triangle with vertices (4, 0, 0), (0, 2, 0), and (0, 0, 1), traversed in the given
order. Enter an exact answer.
Provide your answer below:
Scv.dr =
Transcribed Image Text:Suppose the vector field v(x, y, z) = (2z − 1) i + (−2y − 3) j+ (3z − 2) k represents the velocity field of a fluid. Find the circulation for v. dr, where C' is the triangle with vertices (4, 0, 0), (0, 2, 0), and (0, 0, 1), traversed in the given order. Enter an exact answer. Provide your answer below: Scv.dr =
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