the internal jugular vein?
The internal jugular vein does not directly branch from the maxillary artery. Instead, it is a major vein that drains blood from the brain, face, and neck.
The internal jugular vein receives blood from several other veins in the head and neck, including the facial vein, lingual vein, pharyngeal veins, and superior thyroid vein, among others. It runs downward in the neck, parallel to the common carotid artery, and eventually joins the subclavian vein to form the brachiocephalic vein.
The maxillary artery is an arterial vessel, while the internal jugular vein is a venous vessel, and they do not directly connect or branch off from each other.