Combine flour, sugar, vegetable oil, milk, vanilla and eggs; beat until smooth. Pour batter into a plastic squeeze bottle with a narrow opening, or use a pastry decorating bag with a small opening. Heat a large non-stick skillet over medium heat until hot; lightly grease. Working quickly, squeeze batter to form 4 straight, thin lines which intersect at a common center point to form a "star" shape. To form cobweb, squeeze thin streams of batter to connect lines. Cook 30 to 60 seconds or until bottom is golden brown; carefully turn. Cook until golden brown; remove from skillet. Cool. Sprinkle with powdered sugar.
Makes about 2 1/2 dozen 4-inch cobweb cookies.