Cake: Preheat oven to 350F. Grease & flour 9" pan. Beat eggs with sugar till frothy. Gradually beat in oil. Combine dry ingredients, add to 1 st mixture in large bowl & beat together till mixed (batter will be thick). Add carrots, zucchini & coconut. Beat. Pour into pan. Bake at 350F for 30 min. Frost when cool.
Icing: Beat cream cheese (room temp) & butter together till creamy. Beat in icing sugar, vanilla & orange rind till creamy. Spread.