Let C be the curve of intersection of the spheres x^2 + y^2 + 22 = 66 and (x - 2)^2 + (y - 2)^2 + 22 = 66. Find the parametric equations of the tangent line to C at P = (1,1,8). It is known that if the intersection of two surfaces F(x,y, z) = 0 and G(x,y, z) = 0 is a curve C and P is a point on C, then the vector v = VFp X VGp is a direction vector for the tangent line to C at P. (Use symbolic notation and fractions where needed. Enter your answers as functions of parameter t in the form r(t) = (x(t), y(t), z(t)) = ro + vt, where ro is the corresponding coordinate of point P.)