Beat eggs until thick and lemon colored; gradually add sugar, beating well. Combine flour, baking powder, and salt; add to egg mixture. Beat 1 minute at medium speed of an electric mixer. Stir in apples, pecans, and vanilla.
Pour batter into a greased 13- x 9- x 2-inch baking pan; bake at 350° for 30 minutes or until top of torte falls and becomes crusty. Let torte cool completely before cutting; cut into squares. Garnish each serving with a dollop of whipped cream.