Answer
$$J(u,v,w)=\left| \begin{array}{ccc} \frac{1}{2}& - \frac{1}{2} & 0 \\ \frac{1}{2} & - \frac{1}{2} & 0\\2vw&2uw&2uv \end{array}\right| $$
Work Step by Step
$$J(u,v,w)=\left| \begin{array}{ccc} \frac{1}{2}& - \frac{1}{2} & 0 \\ \frac{1}{2} & - \frac{1}{2} & 0\\2vw&2uw&2uv \end{array}\right| $$