The direction of magnetic force on the electron as shown in the diagram is along,
Y-axis
–Y –axis
Z-axis
–Z –axis
In figure, magnetic field direction due to current carrying wire is along −k^ into the page.So, magnetic force, F→=qV→ X B→ F→=(−e)(−Vi^)X(−Bk^)=−eVi^ X Bk^=−e(V X B)(i^ X k^)=−e(VB)(−j^)=e(VB)j^