Consider the following vector field ? = (??)?̂ + (2??)?̂ + (3??)?̂ a. Compute the curl of this vector field. b. Use your result from (a) to compute the line integral of the vector field along the triangular path shown. 2. Consider the following vector fieldv = (xy)x+ (2yz)y+ (3zx)za. Compute the curl of this vector field.b. Use your result from (a) to compute the line integral of the vectorfield along the triangular path shown.X2M..!!!im2

Answered: Image /qna-images/answer/fe8d6f4e-d2bc-46f0-be66-796c79725540.jpg

2. Consider the following vector field v = (xy)x+ (2yz)y+ (3zx)z a. Compute the curl of this vector field. b. Use your result from (a) to compute the line integral of the vector field along the triangular path shown. X 2 M ..!!! im 2

2. Consider the following vector field v = (xy)x+ (2yz)y+ (3zx)z a. Compute the curl of this vector field. b. Use your result from (a) to compute the line integral of the vector field along the triangular path shown. X 2 M ..!!! im 2

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.17P

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Question

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Consider the following vector field
? = (??)?̂ + (2??)?̂ + (3??)?̂
a. Compute the curl of this vector field.
b. Use your result from (a) to compute the line integral of the vector field along the triangular path shown.

2. Consider the following vector field
v = (xy)x+ (2yz)y+ (3zx)z
a. Compute the curl of this vector field.
b. Use your result from (a) to compute the line integral of the vector
field along the triangular path shown.
X
2
M
..!!!
im
2

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