Question
Find $\nabla \cdot(\mathbf{F} \times \mathbf{G})$$$\begin{array}{l}{\mathbf{F}(x, y, z)=y z \mathbf{i}+x z \mathbf{j}+x y \mathbf{k}} \\ {\mathbf{G}(x, y, z)=x y \mathbf{j}+x y z \mathbf{k}}\end{array}$$
Step 1
The cross product of two vectors is given by the determinant of a 3x3 matrix. The first row of the matrix is the unit vectors $\mathbf{i}$, $\mathbf{j}$, and $\mathbf{k}$. The second row is the coefficients of $\mathbf{F}$, and the third row is the coefficients of Show more…
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