Using a spiralizer, cut the zucchini into long 'noodles' and place in a large mixing bowl.
Add the carrot, tomatoes, fresh basil, and red onion to the zucchini and lightly toss.
In a blender, combine the vinegar, tomato paste, garlic, and honey. Blend until smooth and pour over the zucchini mixture. Gently toss to coat the vegetables in the dressing.