Final answer:
Damage to the trochlear nerve (CN IV) would result in double vision and an eye that is unable to move inferolaterally.
Step-by-step explanation:
Damage to the trochlear nerve (cranial nerve IV) would result in double vision and an eye that is unable to move inferolaterally, which is the characteristic movement impairment seen when this nerve is damaged. The extraocular muscles are innervated by three cranial nerves: the oculomotor (CN III), trochlear (CN IV), and abducens (CN VI) nerves.
The lateral rectus muscle, which abducts the eye, is innervated by the abducens nerve, and the superior oblique muscle, which is responsible for depressions and intorsion, is innervated by the trochlear nerve. Any injury to these nerves may lead to eye movement dysfunctions such as double vision or an inability to coordinate the actions of both eyes, known as internuclear ophthalmoplegia.