Beat the eggs until foamy. Add the oil and sugar; mix until well-combined. Add the dry ingredients; mix just until combined. Fold in the vanilla, apples and nuts until just combined. The batter will be pretty thick (to the point where it feels like dough rather than a cake batter).
Turn into a greased and floured 9x13" pan. Bake at 375F for 1 hour, or until a toothpick inserted into the center of the cake comes out with moist crumbs and the top is crunchy.