${{F}_{21}}=k\frac{\left| {{q}_{2}} \right|\left| {{q}_{1}} \right|}{{{r}_{21}}^{2}}\to {{F}_{21}}=9\times {{10}^{9}}\times \frac{\left( 4\times {{10}^{-6}} \right)\times \left( 2\times {{10}^{-6}} \right)}{{{3}^{2}}}=\frac{9\times 8\times {{10}^{-3}}}{9}\to {{F}_{21}}=8\times {{10}^{-3}}N$
${{F}_{31}}=k\frac{\left| {{q}_{3}} \right|\left| {{q}_{1}} \right|}{{{r}_{31}}^{2}}\to {{F}_{31}}=9\times {{10}^{9}}\times \frac{\left( 3\times {{10}^{-6}} \right)\times \left( 2\times {{10}^{-6}} \right)}{{{3}^{2}}}=\frac{9\times 6\times {{10}^{-3}}}{9}\to {{F}_{31}}=6\times {{10}^{-3}}N$
بردار برآیند بر حسب بردارهای یکه به صورت زیر به دست میآید:
${{\overrightarrow{F}}_{eq}}={{\overrightarrow{F}}_{21}}+{{\overrightarrow{F}}_{31}}\to {{\overrightarrow{F}}_{eq}}=\left[ (8\times {{10}^{-3}})\overrightarrow{i}+0\overrightarrow{j} \right]+\left[ 0\overrightarrow{i}+(-6\times {{10}^{-3}})\overrightarrow{j} \right]$
$\to {{\overrightarrow{F}}_{eq}}=\left[ (8\times {{10}^{-3}})\overrightarrow{i}+(-6\times {{10}^{-3}})\overrightarrow{j} \right]$
${{\overrightarrow{F}}_{eq}}=\sqrt{F_{x}^{2}+F_{y}^{2}}\to {{F}_{eq}}=\sqrt{{{(8\times {{10}^{-3}})}^{2}}+{{(-6\times {{10}^{-3}})}^{2}}}$
$\to {{F}_{eq}}=\sqrt{(64\times {{10}^{-6}})+(36\times {{10}^{-6}})}$
$\to {{F}_{eq}}=10\times {{10}^{-3}}N$