3. (Maths) A force is defined by the vector field F=zyi+yj+zk N (a) Evaluate the work done by this force when moving a mass anti-clockwise around the closed triangular path in the x, y plane shown below. (b) Explain whether this is a conservative force. (c) Evaluate the surface integral of this vector field through the triangle (in the direc tion of positive 2). y (0,2) (0,0) (2,0) X

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
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3. (Maths) A force is defined by the vector field
F=zyi+yj+zk N
(a) Evaluate the work done by this force when moving a mass anti-clockwise around
the closed triangular path in the x, y plane shown below.
(b) Explain whether this is a conservative force.
(c) Evaluate the surface integral of this vector field through the triangle (in the direc
tion of positive 2).
y
(0,2)
(0,0)
(2,0)
X
Transcribed Image Text:3. (Maths) A force is defined by the vector field F=zyi+yj+zk N (a) Evaluate the work done by this force when moving a mass anti-clockwise around the closed triangular path in the x, y plane shown below. (b) Explain whether this is a conservative force. (c) Evaluate the surface integral of this vector field through the triangle (in the direc tion of positive 2). y (0,2) (0,0) (2,0) X
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