Answer
$0$
Work Step by Step
Flow $=\int_C F(r(t)) \dfrac{dr}{dt}(dt)$
and $ \dfrac{dr}{dt}=2 \sin t i+2 \cos t j+2k$
Then work done $=\int_0^{2 \pi}(-2 \sin t i -2 \cos t j+2k) (2 \sin t i+2 \cos t j+2k)$
or, $=[-4+4 ]_0^{2 \pi}$
or, $=0$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 15 - Section 15.2 - Vector Fields and Line Integrals: Work, Circulation, and Flux - Exercises - Page 840: 50
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