Unless the intention is to distinguish between Sheriffs, Mayors, and Governors, the question answers itself.
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The head of the Executive Branch in the US is the President.
The Vice President serves at the whim of the President in the Executive Branch. The Vice President, however, is also the President of the Senate so he has job duties to fulfill in that capacity as well.
The Executive Branch pension for the President is $200,000 a year. The Vice President only receives a pension if he serves five years and then it is the same as the pension of Congress members.
The vice-president is in a rather special position. His only official duty is to preside over the US Senate, and since he can vote in the case of a tie, he has a bit of legislativepower. He is sometimes considered to be part of the cabinet which would be in the executive branch, but he does not have any official duties in that regard, unless the President asks him to do something for him. He is not a paid employee of the executive branch, but when he serves the President, he represents the executive branch.
True. Since the vice president is the second highest official in the executive branch of government and the Senate is part of the legislative branch, this is one way in which the two branches are drawn closer.