Use Stokes' Theorem to Evaluate $\oint _ { C } \mathbf { F } \cdot d \mathbf { r }$

question 21

Short Answer

Use Stokes' Theorem to evaluate $\oint _ { C } \mathbf { F } \cdot d \mathbf { r }$ . $\mathbf { F } ( x , y , z ) = 7 z \mathbf { i } + y \mathbf { j } + 4 x z \mathbf { k }$ ;
C is the boundary of the triangle with vertices $( 6,0,0 )$ , $( 0,6,0 )$ , and $( 0,0,6 )$ oriented in a counterclockwise direction when viewed from above

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