Answer
region a: into the page
region b: out of the page
region c: out of the page
region d: into the page
region e: into the page
region f: out of the page
Work Step by Step
Since the particle is deflected toward the plate of higher potential, the particle must have a negative charge.
When the particle first enters region a, the force on the particle is toward the right. By the right hand rule, the direction of the magnetic field in region a is into the page.
When the particle first enters region b, the force on the particle is toward the right. By the right hand rule, the direction of the magnetic field in region b is out of the page.
When the particle first enters region c, the force on the particle is toward the left. By the right hand rule, the direction of the magnetic field in region c is out of the page.
When the particle first enters region d, the force on the particle is upward. By the right hand rule, the direction of the magnetic field in region d is into the page.
When the particle first enters region e, the force on the particle is downward. By the right hand rule, the direction of the magnetic field in region e is into the page.
When the particle first enters region f, the force on the particle is toward the right. By the right hand rule, the direction of the magnetic field in region f is out of the page.