To prepare salad, combine 1 cup water and rice in a medium microwave-safe bowl; cover. Microwave at high 4 minutes. Microwave at medium 5 minutes. Fluff with a fork. Let cool to room temperature. Add carrot and next 4 ingredients (through tofu); toss gently to combine.
To prepare dressing, combine vinegar and remaining ingredients, stirring with a whisk. Add dressing to salad; toss gently to combine.