Grease a loaf pan (or make as cupcakes) and set aside.
Sift together flour, baking powder, baking soda, and salt. In a separate bowl, combine oil, sugar, honey, rice milk, vanilla, lemon juice, and zest.
Pour the dry ingredients into the wet and mix until smooth. Pour into loaf pan and bake for about 30-35 minutes, until a tester inserted in the middle comes out dry. Remove from oven and place on a wire rack to cool for 10 minutes, then turn out onto rack.