A 3-nodes And 2-clusters Architecture Possible?

To all the SQL H/A experts, we were wondering if we could have 3 physical nodes and 2 active/passive clusters architecture setup on a SAN as seen in the image below? http://www.geocities.com/juanlieu/CP_Arch.JPGIn case you cannot see the diagram, it would looks something like this:
active/passive Cluster A ---> physical server A (Win2003/SQL2005) ---> HP EVA SAN ---> physical server B (Win2003/SQL2005) ---> HP EVA SANactive/passive Cluster B ---> physical server B (Win2003/SQL2005) ---> HP EVA SAN ---> physical server C (Win2003/SQL2005) ---> HP EVA SAN
In this setup, I understand that Server B cannot be called upon as the active server at the SAME time by both clusters. question: what would happens if it does, would Server B reject the last cluster that calls it?Appreciated in advance.