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(a) Suppose that the intersection of two surfaces F (9:, y, z) = 0 and C(m, y, z) = 0 is a curve C. Explain
(a) Suppose that the intersection of two surfaces F (9:, y, z) = 0 and C(m, y, z) = 0 is a curve C. Explain Why the vector v = VF p x VG p is a direction vector for the tangent line to C at P. (b) Let C be the curve of intersection of the spheres $2 + y2 + 22 = 3 and (ac 2)2 + (y 2)2 + 22 = 3. Use the result of part (a) to nd parameric equations of the tangent line to C at P = (1, 1, 1)
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