Use Stokes' Theorem to Calculate the Circulation of the Field $\mathbf { F } = x ^ { 2 } \mathbf { i } + x y \mathbf { j } + y \mathbf { k } ; \mathrm { C }$

question 70

Multiple Choice

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
- $\mathbf { F } = x ^ { 2 } \mathbf { i } + x y \mathbf { j } + y \mathbf { k } ; \mathrm { C }$ : the counterclockwise path around the perimeter of the rectangle in the $x - y$ plane formed from the $x$ -axis, $y$ -axis, $x = 2$ and $y = 3$

• A) 18
• B) 9
• C) -18
• D) - 9

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