Step 1:
Let's denote the charges as follows:
$q_1 = -2\mu C$ at $(6, 8)$
$q_2 = 6\mu C$ at $(0, 8)$
$q_3 = -4\mu C$ at $(6, 0)$
The electric field at the origin due to a point charge $q$ at position $(x, y)$ is given by:
$\vec{E} = k \frac{q}{r^2} \hat{r}$
where $k
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