Stokes theorem Consider the cylindrical shell: : {(x, y, z) € R³ : x² + y² = 1,0 < x < 1} And the vector field v given b
Posted: Tue Jul 12, 2022 12:07 pm
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Stokes theorem Consider the cylindrical shell: : {(x, y, z) € R³ : x² + y² = 1,0 < x < 1} And the vector field v given by v(x, z, y) = (z - x, x - y, y-z) Calculate the following integral 1) With the help of Stokes theorem. 2) And with the definition of a curve integral v.dx әм Help: Here M is oriented by the outer unit normal vector n and the orientation of OM is chosen as in Stokes' theorem
Stokes theorem Consider the cylindrical shell: : {(x, y, z) € R³ : x² + y² = 1,0 < x < 1} And the vector field v given by v(x, z, y) = (z - x, x - y, y-z) Calculate the following integral 1) With the help of Stokes theorem. 2) And with the definition of a curve integral v.dx әм Help: Here M is oriented by the outer unit normal vector n and the orientation of OM is chosen as in Stokes' theorem