Preheat the oven to 350°F (180°C), or 160°C for a fan oven.
In a bowl, sift flour, baking powder, and salt. Set aside.
In a separate bowl, whisk eggs with sugar, oil, and vanilla extract until well combined.
Add the dry ingredients to the wet ingredients, and whisk until combined.
Add orange juice and orange zest, and mix until combined.
Spray the bundt pan with non stick baking spray, then pour the batter in the pan.
Bake in the oven for 35-40 minutes or until a toothpick comes out clean from the center of the pan.
Remove the pan from the oven, and place it on a wire rack for 10 minutes, then loosen the sides with a thin spatula if needed. Invert on a plate and allow to cool completely before slicing and serving.