In a medium bowl, combine the flour, powdered sugar, and salt. Cut in the cold butter with a fork or pastry blender until the mixture resembles coarse crumbs.
Press the crust mixture evenly into the bottom of an 11x7x1½-inch baking pan. Bake for 15 to 20 minutes, or until lightly golden.
While the crust bakes, stir together the eggs, pecans, brown sugar, corn syrup, melted butter, and vanilla in another bowl until well combined.
Pour the mixture over the hot crust, spreading it evenly. Return to the oven and bake for another 20 minutes, or until the filling is set.
Let the bars cool completely on a wire rack. Cut into squares or bars to serve.