Patient presents with both ataxia and an intention tremor on the right hand side. It is important to remember that cerebellar lesions like we see here always present IPSILATERALLY as opposed to many other CNS lesions.
Cerebellar Vermis lesions: Truncal Ataxia (wide based/drunk sailor gaite) + Nystagmus
Cerebellar Hemisphere lesion: Intention tremor, Limb Ataxia, Loss of balance --> fall to IPSILATERAL side.
Vermis = central --> affects central body
hemispheres = lateral --> affects limbs
pg 499 of FA19