In a bowl, combine the first seven ingredients until blended; set aside. In a large nonstick skillet or wok, stir-fry carrots and peppers in oil for 5 minutes.
Add mushrooms and snow peas; stir-fry for 6 minutes.
Add green onions; stir-fry for 3 minutes or until the vegetables are crisp-tender.
Stir orange juice mixture and add to pan. Bring to a boil; cook and stir for 2 minutes or until thickened. Stir in cashews.