(a) The ability of light to spread in various directions is known as scattering of light.
(b) In the zero shadow condition, the shadow does not really vanishes. In fact, it is formed just beneath the object because of which we are not able to see it.
(c) Yes, the laser beam will be seen if it passes through a glass box which contains a lighted incense stick. This is because the laser beam will be scattered by the smoke particles formed in the glass box due to burning of incense stick. Due to this scattering, the path of laser beam will become visible.