The direction of magnetic force on the electron as shown in the diagram is along,

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^