PROJECT. Tangent Planes T(P) will be less important in our
Chapter 10, Problem 10.5(choose chapter or problem)
PROJECT. Tangent Planes T(P) will be less important in our work, bur you should know how to represent them. (a) If S: rILl, V), then T(P): (r* - r ru rv) = 0 (a scalar triple product) or r*(p. q) = rIP) + pr,,(P) + qrvCP). lb) If S: g(x, y, z) = 0, then T(P): (r* - rtp) - v g = O. (c) If S: z = f(x, y), then T(P): z* - z = (x* - x)fx(P) + (y* - y)fY(P)). Interpret (a)-(c) geometrically. Give two examples for (a), two for (b), and two for (c).
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