Preheat your oven to 350°F (175°C). Grease a baking pan.
In a mixing bowl, whisk together the flour, sugar, baking soda, and salt.
In another bowl, mix the olive oil, water, lemon juice, lemon zest, and vanilla extract.
Combine the wet and dry ingredients, stirring until just combined.
Pour the batter into the prepared baking pan.
Bake for 45 minutes, or until a toothpick inserted into the center comes out clean.
Let the cake cool before serving.