The magnetic force acting on the charged paraticle is given by

$\overrightarrow F = q\left( {\overrightarrow v \times \overrightarrow B } \right)$

$= \left( { - 2 \times {{10}^{ - 6}}} \right)\left[ {\left\{ {\left( {2\widehat i + 3\widehat j} \right) \times {{10}^6}} \right\} \times \left( {2\widehat j} \right)} \right]$

$= - 4\left( {2\widehat k} \right)$

$= - 8\widehat k$

$\therefore$ Force is of 8N along – z-axis.