10:14 PM Thu Jun 15 . . . 2 0 85% Q Mastery+Assignment+4-1 ~ X . . . participation 4 210B+Unit+6+... X 210B+Unit+7+... X 210B+Unit+8A... X Mastery+... T. 2. (8 points) (a) Suppose that the intersection of two surfaces F(x, y, z) = 0 and G(x, y, z) = 0 is a curve C. Explain why the vector v = VFp x VGp is a direction vector for the tangent line to C at P. (b) Let C be the curve of intersection of the spheres x2 + 2 + 22 = 3 and (x - 2)2 + (y - 2)2 + 22 = 3. Use the result of part (a) to find parameric equations of the tangent line to C at P = (1, 1, 1)