Which vein runs over the brachial and ulnar arteries?

The basilic vein runs over both the brachial and ulnar arteries, making it the correct answer. This vein is located on the medial side of the arm and originates from the dorsal venous network of the hand. As it ascends along the arm, it passes over the brachial artery and follows closely with the ulnar artery in the forearm.

The cephalic vein, on the other hand, is located more laterally and runs alongside the radial artery rather than the brachial or ulnar arteries. The median cubital vein is primarily a superficial connection between the cephalic and basilic veins and is often used for venipuncture, but it does not run over the brachial and ulnar arteries directly. The radial vein generally accompanies the radial artery in the forearm and does not run over the brachial or ulnar arteries either. Each of these other veins has a different anatomical relationship with the arteries in the arm, which clarifies why the basilic vein is the correct choice.