In large saucepan, cook linguine to desired doneness as directed on package. Drain; return to saucepan.
Meanwhile, heat 3 tablespoons of the oil in large skillet or wok over medium-high heat until hot. Add carrots; cook and stir 2 minutes.
Add zucchini; cook and stir 2 to 3 minutes or until vegetables are crisp-tender. Add all remaining ingredients except cheese; cook and stir until thoroughly heated.
Add remaining 1 tablespoon oil to cooked linguine; toss to coat. Add linguine and cheese to vegetable mixture; toss gently to combine.