Combine soy sauce, lime juice, oil, honey, garlic, ginger, and pepper flakes in a small bowl; whisk to blend.
Place steak in a shallow dish. Pour soy sauce mixture over steak. Marinate, in the refrigerator, covered, for 1 hour. Turn after 30 minutes.
Preheat grill (or broiler) on high.
Grill (or broil) steak for 5 to 8 minutes on each side, or until the internal temperature reaches 120° F for rare, 125° F for medium rare, or 130° F for medium. Remove from heat. Let steak rest, covered with aluminum foil, for 5 to 10 minutes before slicing.
Slice steak thinly against the grain.
Serve one portion of steak with 1½ cups broccoli, 1½ cups cauliflower, and ½ sweet potato.
The Nutrition Facts box below provides estimated nutritional information for this recipe.