Meanwhile, in a large saucepan, cook rice noodles, broccoli, and carrots in a large amount of boiling water for 3 to 4 minutes or just until noodles are tender; drain. Rinse with cold water; drain again. Using kitchen scissors, snip noodles into short lengths. In a medium bowl, stir together lime peel, lime juice, and the remaining 2 teaspoons oil. Add noodle mixture and the 2 to 3 tablespoons cilantro; toss gently to coat.