Final answer:
A laceration of the neck superficial to the deep cervical fascia along the sternocleidomastoid muscle would likely cause bleeding from the external jugular vein, which drains blood from the more superficial parts of the head and neck.
Step-by-step explanation:
A laceration of the neck superficial to the deep cervical fascia along the sternocleidomastoid muscle at its midpoint would primarily cause bleeding from the external jugular vein. This is because the external jugular vein is responsible for draining blood from the superficial portions of the head, scalp, and cranial regions, and it is located in the superficial fascial plane of the neck, alongside the sternocleidomastoid muscle. The external jugular vein then leads the blood into the subclavian vein. Other neck structures, like the carotid artery and subclavian artery, are located deeper and would not be affected by a superficial laceration.