Below you can see the front-view size comparison of the Fujifilm X-E3 and Nikon 1 V3. The Nikon 1 V3 is clearly the smaller of the two cameras. Its body is 10 mm narrower, 9 mm shorter and 10 mm thinner than the Fujifilm X-E3.
The chart below depicts how two cameras compare with average dimensions of the cameras in their class.