WeBWorK Standalone Renderer

Compute the flux of the vector field $\vec{v}= -3\,\mathit{\vec i}+\,\mathit{\vec j}-3\,\mathit{\vec k}$ through the rectangular region shown below, assuming it is oriented as shown and that $a = 2$ and $b = 4$ .

Figure showing part of a plane intersecting the yz-plane along the line segment between (0,0,b) and (0,a,b), and intersecting the xy-plane along the line segmentn between (a,0,0) and (a,a,0). The orientation is given by an arrow pointing from the part of the plane upwards with positive slope dz/dx.

flux =