Whisk the eggs and sugar until frothy. Add boiling water and vegetable oil and whisk again. Sift and incorporate the flour, baking powder, and vanilla, then beat until smooth. Pour into a baking tray lined with parchment paper and bake in a preheated oven at 170 degrees Celsius for 10-12 minutes. Once the cake has cooled, place a sheet of parchment paper on top, flip it, and remove the paper.