The first row of the determinant will be the unit vectors $\vec{i}$, $\vec{j}$, and $\vec{k}$. The second row will be the components of vector $\vec{v}$, which are 1, 1, and 1. The third row will be the components of vector $\vec{w}$, which are 1, 1, and -1. So,
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