Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
In a bowl, toss together the broccoli, bell peppers, and carrots with olive oil. Season generously with salt and pepper. Spread them out evenly on one side of the prepared sheet pan.
In a small bowl, whisk together soy sauce, honey, minced garlic, grated ginger, rice vinegar, and sesame oil until well combined.
Place the salmon fillets on the empty side of the sheet pan, skin-side down. Brush each fillet generously with the teriyaki sauce, reserving some for later.
Transfer the sheet pan to the preheated oven and bake for 15-20 minutes, or until the salmon is cooked through and flakes easily with a fork and the vegetables are tender and slightly caramelized.
In the last few minutes of cooking, brush additional teriyaki sauce over the salmon for an extra glaze.
Remove the sheet pan from the oven, and let it cool slightly. Garnish the salmon and vegetables with sesame seeds and chopped green onions before serving.
Notes
For extra flavor, let the salmon marinate in the teriyaki sauce for 30 minutes before cooking.