Spray an 8x4" loaf pan with cooking spray and line the bottom with parchment paper. Preheat your oven to 325 degrees.
Wash and grate the zucchini. Wash, peel, and grate the carrot.
In a large mixing bowl, whisk together oil, sugar, egg, egg yolk, applesauce, and vanilla. Whisk in the grated zucchini and carrot.
Whisk or sift together the flour, salt, baking powder, baking soda, and spices. Stir into the wet ingredients just until there are no streaks of flour.
Pour batter into prepared pan. Bake at 325° for 55-60 minutes, or until a toothpick inserted in the center comes out clean.
Let cool in the pan for about 10 minutes, then invert and place on a wire rack to cool completely.
Notes
This recipe can easily be doubled to make two loaves. Simply use 3 eggs.