Which of the following drinks is characterized by the use of dash dry vermouth and gin?

The drink characterized by the use of a dash of dry vermouth and gin is a Gibson. This cocktail is known for its simple yet refined composition, typically consisting of gin and a small amount of dry vermouth, which adds a subtle herbal note to balance the botanicals of the gin.

In a Gibson, the drink is often garnished with pickled onions, which distinguishes it from the classic martini, typically garnished with olives or a lemon twist. This unique garnish and the combination of flavors highlight the Gibson's identity as a sophisticated choice among gin-based cocktails.

Other options such as the Margarita, Old Fashioned, and Manhattan involve different base spirits and mixers. The Margarita features tequila, the Old Fashioned is built with whiskey, and the Manhattan combines whiskey with sweet vermouth, making them distinctly different from the gin and dry vermouth pairing found in the Gibson.