Total Force on Point Charge from 2 Point Charges/Also presented as

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Total Force on Point Charge from 2 Point Charges: Also presented as

This can also be presented as:

\(\ds \mathbf F_1\) \(=\) \(\ds \mathbf F_{21} + \mathbf F_{31}\)
\(\ds \) \(=\) \(\ds \dfrac {q_1} {4 \pi \varepsilon_0} \paren {\dfrac {q_2} { {r_{2 1} }^3} \mathbf r_{2 1} + \dfrac {q_3} { {r_{3 1} }^3} \mathbf r_{3 1} }\)

where:

$\mathbf F_{21} + \mathbf F_{31}$ denotes the vector sum of $\mathbf F_{21}$ and $\mathbf F_{31}$
$\mathbf r_{ij}$ denotes the displacement from $q_i$ to $q_j$
$r_{ij}$ denotes the distance between $p_i$ and $p_j$
$\varepsilon_0$ denotes the vacuum permittivity.