'Go Over' in the Bible

Then Abishai [David’s nephew], the son of Zeruiah, said to the king, “Why should this dead dog (despicable person) curse my lord the king? Let me go over and take off his head.”

Your servant would merely cross over the Jordan with the king. Why should the king compensate me with this reward?

Please let your servant return, so that I may die in my own city [and be buried] by the grave of my father and mother. But here is your servant Chimham [my son]; let him cross over with my lord the king, and do for him what seems good to you.”

The king answered, “Chimham shall cross over with me, and I will do for him what seems good to you; and whatever you ask of me, I will do for you.”