MATH 226 Midterm: MATH 226 2010 Winter Test 1
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The plane p passes through the points a(1, 1, 0), b(0, 1, 1), and c(1, 3, 1). (a) find an equation for p . (b) show how to split the given vector f = ( 4, 5, 7) as. F = u + w, where u is normal to the plane p and w is perpendicular to u. Riverboat slim earns his living as a calculus shark on the paddlewheelers of the. An undercover cop once learned slim"s trick for nding the tangent plane for any surface of the form. If (x0, y0, z0) is on that surface and i need the tangent plane right there , slim con ded, i just rewrite ( ) but change x2 to x0x, change y2 to y0y, and so on. the cop got the hint: Ax0x + by0y + cz0z = k. (a) justify slim"s method. (b) generalize slim"s method to produce the tangent hyperplane at a = (a1, a2, .
