Two point charges \({q}_{1}=3\mu C\) and \({q}_{2}=-4\mu C\) are placed at points \((2\hat{i}+3\hat{j}+3\hat{k})\) and \…

Vector from \({q}_{1}\) to \({q}_{2}\) :

\(\vec{r}={\vec{r}}_{2}-{\vec{r}}_{1}=-\hat{i}-2\hat{j}-2\hat{k}\)

Distance: \(r=\sqrt{1+4+4}=3\)
Force on \({q}_{2}\) :

\(\vec{F}=\frac{1}{4\pi {\epsilon }_{0}}\frac{{q}_{1}{q}_{2}}{{r}^{3}}\vec{r}\)

Since \({q}_{1}=3\mu C\) and \({q}_{2}=-4\mu C\), the force is attractive, hence along

\(\hat{i}+2\hat{j}+2\hat{k}\)

\(\Rightarrow \frac{9\times {10}^{9}\times (3)(4)\times {10}^{-12}}{27}(\hat{i}+2\hat{j}+2\hat{k})\)

\(\Rightarrow 4\times {10}^{-3}[\hat{i}+2\hat{j}+2\hat{k}]\)