Suppose the vector field v(x, y, z) = (x − 2) i + (−y − 2) j+ (3x − 3) k represents the velocity field of a fluid. Find the circulation v. dr, where C' is the triangle with vertices (2, 0, 0), (0, 5, 0), and (0, 0, 2), traversed in the given order. Enter an exact answer.
Suppose the vector field v(x, y, z) = (x − 2) i + (−y − 2) j+ (3x − 3) k represents the velocity field of a fluid. Find the circulation v. dr, where C' is the triangle with vertices (2, 0, 0), (0, 5, 0), and (0, 0, 2), traversed in the given order. Enter an exact answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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