\( = {\rm{q}}\overrightarrow {\rm{E}}  + {\rm{q}}(\overrightarrow {\rm{V}} \times \overrightarrow {\rm{B}} )\)

\( \Rightarrow {\rm{q}}[\overrightarrow {\rm{E}}  + (\overrightarrow {\rm{V}} \times  \overrightarrow {\rm{B}} )]\)

\( \Rightarrow {\rm{q}}\left[ {(3\widehat {\rm{i}} + \widehat {\rm{j}} + 2\widehat {\rm{k}})} \right] + \{ (3\widehat {\rm{i}} + 4\widehat {\rm{j}} + \widehat {\rm{k}}) \times (\widehat {\rm{i}} + \widehat {\rm{j}} - 3\widehat {\rm{k}})\} \)

\(\Rightarrow \mathrm{q}[(3 \hat{\mathrm{i}}+\hat{\mathrm{j}}+2 \hat{\mathrm{k}})+(-13 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}-\hat{\mathrm{k}})]\)

\(\mathrm{F}=\mathrm{q}[-10 \hat{\mathrm{i}}+11 \hat{\mathrm{j}}+\hat{\mathrm{k}}]\)

so \(y\) - component of the force is \(=11 \mathrm{\,q}\)