(b) Force on the charged particle in magnetic field is
$\overrightarrow{\mathbf{F}} = q\left( v\widehat{\mathbf{k}} \times B\widehat{\mathbf{j}} \right) = qvB\left( \widehat{\mathbf{k}} \times \widehat{\mathbf{j}} \right) = qvB( - \widehat{\mathbf{i}})$