The symptom of blood vessels in your right eyes is the performance of subconjunctival hemorrhage. The subconjunctival hemorrhage under conjunctiva can be caused by the imperceptible blood-vessel rupture. The outside corneal may have the conjunctival encase oppression. Combined with its own blood coagulation reaction and not too much amount of bleeding, the color red does not have the obvious symptom. And it won't infect, with no effect of contagiousness. The eye conjunctival blood vessels are so weak, which can be broken by external force and fracture. In this modern time, too much time of use in front of computers may cause this. It does not need special treatment. But you should pay attention to the appropriate protection, generally three weeks will be OK because it can absorb the blood vessels in the eyes.