A charge of $2.0 \mu C$ moves with a speed of $2.0\times {10}^6\text{m/s}$ along the positive X - axis. A magnetic field $\overline{B}$ of strength $\left(0.20\widehat{j}+0.40\widehat{k}\right)\text{T}$  exists in space. The magnetic force acting on the charge is

$$\begin{gathered} q=2\mu c=2\times {10}^{-6} \\ v=2\times {10}^6\text{m/s along the x – axis} \\ =\left(2\times {10}^6\widehat{i}\right)\text{m/s} \\ \overline{B}=\left(0.2\widehat{j}+0.4\widehat{k}\right)\text{T} \\ \overline{F}=\text{?} \\ \overline{F}=q\left(\overline{v}\times \overline{B}\right) \\ \overline{F}=2\times {10}^{-6}\left|\begin{array}{ccc}\widehat{i}& \widehat{j}& \widehat{k}\\ 2\times {10}^6& 0& 0\\ 0& 0.2& 0.4\end{array}\right| \\ \overline{F}=2\times {10}^{-6}\left[-\widehat{j}\left(2\times {10}^6\times 0.4-0\right)+\widehat{k}\left(2\times {10}^6\times 0.2-0\right)\right] \\ \overline{F}=2\times {10}^{-6}\left[-0.8\times {10}^6\widehat{j}+0.4\times {10}^6\widehat{k}\right] \\ \overline{F}=2\times {10}^{-6}\times {10}^{-6}\left[0.8\widehat{j}+0.4\widehat{k}\right] \\ \overline{F}=\left(-0.8\right)2\widehat{j}+2\times 0.4\widehat{k} \\ \overline{F}=-1.6\widehat{j}+0.8\widehat{k} \\ \overline{F}=0.8\widehat{k}-1.6\widehat{j} \end{gathered}$$