Solve the problem.
-$$\text { For a surface parametrized in the parameters } u \text { and } v \text { and a force } \mathbf { F } \text {, show that } \int \mathbf { F } \cdot \mathbf { n } d \sigma = \int \mathbf { F } \cdot \left( \mathbf { r } _ { \mathbf { u } } \times \mathbf { r } _ { \mathbf { v } } \right) \text { dudv. }$$

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The Answer of Solve the problem.
-$$\text { For a surface parametrized in the parameters } u \text { and } v \text { and a force } \mathbf { F } \text {, show that } \int \mathbf { F } \cdot \mathbf { n } d \sigma = \int \mathbf { F } \cdot \left( \mathbf { r } _ { \mathbf { u } } \times \mathbf { r } _ { \mathbf { v } } \right) \text { dudv. }$$

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