Chapter 13 - Vector Geometry - 13.4 The Cross Product - Exercises - Page 677: 33

${{\bf{F}}_1}$ represents the force on the electron.

Using the right-hand rule the vector product ${\bf{v}} \times {\bf{B}}$ points in ${{\bf{F}}_2}$ direction. However, since $q$ is negative, the result is ${{\bf{F}}_1}$ represents the force on the electron.