Originally posted by tin008 1.) even after the crop, which one has wider angle?
Cameras do not change the focal length of a lens attached on them. A 31mm lens is still 31mm; a 55mm lens is still 55mm.
However, they do change the angle of view. So the FA31 (which is actually 32mm) will have the equivalent angle of view of 48mm on a full-frame film camera. And the DA*55 will have the equivalent angle of view of a 84mm lens. This in no way matters unless you are sharing lenses across different systems. As Marc said, forget the crop factor nonsense if you are only using APS-C.
Originally posted by tin008 2.) which one has sharper image outdoor?
3.) which one has sharper image indoor?
Where you shoot has nothing to do with sharpness. However, the aperture you are using does. Both lenses are sharp. The FA31 is sharper until about f/4 but not so much that you'd likely notice. Your technique and skill as a photographer will have a lot more to do with how good your images look.
Originally posted by tin008 If I buy both lens new now, are they still make in Japan ? or there are chance that they will be made in Vietnam?
It doesn't matter, but yes, they will likely be made in Vietnam.
Originally posted by tin008 I wonder if the k-7- limited really worth getting if I jump from K10D ??
The K-7 will not take better pictures. But if you strongly need some of the newer features (eg video) it may be worth it to you.