"Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field F=x2i+4xj+z2k around the curve​ C: the ellipse 25x^2+9y^2=10 in the​ xy-plane, counterclockwise when viewed from above."   In solving this, how do we find n, and how was it determined that n = k?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.20P: Calculate the effective gravitational field vector g at Earths surface at the poles and the equator....
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"Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field

F=x2i+4xj+z2k

around the curve​ C: the ellipse

25x^2+9y^2=10

in the​ xy-plane, counterclockwise when viewed from above."

 

In solving this, how do we find n, and how was it determined that n = k?

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