(2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of F as well as the value of the integral: Let F n = V = x F = 0) The value of the integral is ) (the unit normal vector)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let F
(2x, 2y, 2x + 2z). Use Stokes' theorem to
evaluate the integral of F around the curve consisting of
the straight lines joining the points (1,0,1), (0,1,0) and
(0,0,1). In particular, compute the unit normal vector and
the curl of F as well as the value of the integral:
n =
=
) (the unit normal vector)
VXF
C 10:
The value of the integral is
=
Transcribed Image Text:Let F (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of F as well as the value of the integral: n = = ) (the unit normal vector) VXF C 10: The value of the integral is =
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