Point P (1, 1, sqrt(x)) locates in the intersection curve of spherical surface x²+y²+z² = 4 and cylindrical surface x²+y²= 2x.

1. give some normal vector for the spherical surface at point P
2. give some normal vector for the cylindrical surface at point P
3. give some tangential vector for the intersection curve of the spherical and cylindrical surfaces at point P
4. At which point Q does the tangent line of the intersection curve at point P intersect the xy-plane?