Question

5) Use either side of Stokes theorem to find the curl of the vector function \(\mathbf{v} = (xy)\mathbf{i} + (2yz)\mathbf{j} + (3zx)\mathbf{k}\) over the triangular surface show in the figure of the right \(\int_S (\nabla \times \mathbf{v}) \cdot d\mathbf{a} = \oint_P \mathbf{v} \cdot d\mathbf{l}\)

Name: 5) Use either side of Stokes theorem to find the curl of the vector function 𝐯 = (xy)𝐢 + (2yz)𝐣 + (3zx)𝐤 over the triangular surface show in the figure of the right (∇×𝐯) · d𝐚 = 𝐯· d𝐥
Uploaded: 2023-09-13T05:52:09-08:00
Duration: 3 min 25 s
Channel: Adi S
Description: 5) Use either side of Stokes theorem to find the curl of the vector function 𝐯 = (xy)𝐢 + (2yz)𝐣 + (3zx)𝐤 over the triangular surface show in the figure of the right (∇×𝐯) · d𝐚 = 𝐯· d𝐥

          5) Use either side of Stokes theorem to find the curl of the vector function \(\mathbf{v} = (xy)\mathbf{i} + (2yz)\mathbf{j} + (3zx)\mathbf{k}\) over the triangular surface show in the figure of the right \(\int_S (\nabla \times \mathbf{v}) \cdot d\mathbf{a} = \oint_P \mathbf{v} \cdot d\mathbf{l}\)

5) Use either side of Stokes theorem to find the curl of the vector function 𝐯 = (xy)𝐢 + (2yz)𝐣 + (3zx)𝐤 over the triangular surface show in the figure of the right (∇×𝐯) · d𝐚 = 𝐯· d𝐥

Added by Kyle M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/13/2023

Step 1

Step 1: To use Stokes' theorem, we need to find the curl of the vector function v = xyi + 2yzj + 3zxk. Show more…

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Texts: 5 Use either side of Stokes' theorem to find the curl of the vector function v = xyi + 2yzj + 3zxk over the triangular surface shown in the figure on the right. P₉ = εₐₓ T