Question

the surfaces x^2 + 2y + z^2 = 10 and 2x^2 - y^2 - 2z = 3 intersect in a curve C at the point (2, 1, 2). Find the parametric equation of the tangent line to the curve C at the points (2,1,2). (hint: the direction vector of the tangent line is perpendicular to the two normals at the point (2,1,2)).