Question 1) Let ( be a simple closed curve that lies in a planeand let F= be a non conservative vectorField that is linear, l.e., with P, Q, and R linearand z.Functions of X, Y,(a) Explain why curl F is a constant(b) What does Stokes' Theorem imply about the vectorline integral ( F. dr, if CUMF ISF. drif CUMF is parallel to the planecontaining C(C) Suppose that Curl È is not parallel to the planecontaining C. Show that I F.E depends onlyon the area of region enclosed by C and noton the shape of C or its location in the plane

Answered: Image /qna-images/answer/2df80028-d822-41fd-bfb5-83c60cbd3bf3.jpg

Question 1) Let ( be a simple closed curve that lies in a plane and let F= be a no-conservative vector Field that is Inear, 1.e., with P,Q, and R linear Functions of x, y, and z. (a) Explain why curiF is a constant (b) What does Stokes' Theorem imply about the vector line integral (F. dr, if curl F is parallel to the plane containing C (C) Suppose that Curl È is not parallel to the plane containing C. Show that I F. d= depends only on the area of region enclosed by C and not on the shape of C or its location in the plane

Question 1) Let ( be a simple closed curve that lies in a plane and let F= be a no-conservative vector Field that is Inear, 1.e., with P,Q, and R linear Functions of x, y, and z. (a) Explain why curiF is a constant (b) What does Stokes' Theorem imply about the vector line integral (F. dr, if curl F is parallel to the plane containing C (C) Suppose that Curl È is not parallel to the plane containing C. Show that I F. d= depends only on the area of region enclosed by C and not on the shape of C or its location in the plane

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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