7. (20 points) Compute the line integral of $\vec{v} = 6\hat{x} + yz\hat{y} + z^2\hat{z}$ Along the triangular path shown in the figure below. Check your answer using Stokes' theorem. $\int \vec{v} \cdot d\vec{l}$ $(d\vec{l} = x\hat{x} + y\hat{y} + z\hat{z})$
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