Preheat oven to 350°F. Coat a standard(8 1/2x4 1/4") loaf pan with nonstick vegetableoil spray. Dust with flour; tap out excess.
Whisk 1 1/2 cups all-purpose flour, 2 teaspoonsbaking powder, and 3/4 teaspoon kosher salt ina medium bowl. Using your fingers, rub 1 cupsugar with 1 tablespoon finely grated lemonzest in a large bowl until sugar is moist.
Add 3/4 cup whole-milk Greek yogurt,1/2 cup vegetable oil, 2 large eggs, and1/2 teaspoon vanilla extract; whisk to blend. Foldin dry ingredients just to blend.
Pour batterinto prepared pan; smooth top.
Bake untiltop of cake is golden brown and a testerinserted into center comes out clean, 50-55minutes.
Let cake cool in pan on a wire rackfor 15 minutes. Invert onto rack; let coolcompletely. DO AHEAD: Can be made 3 daysahead. Store airtight at room temperature.