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Exercise 11

Avg difficulty 2.5

Find the equation of each of the following geometric objects.

  1. The plane parallel to the xyxy-plane that passes through the point (−4,5,−12)(-4,5,-12).

  2. The plane parallel to the yzyz-plane that passes through the point (7,−2,−3)(7, -2, -3).

  3. The sphere centered at the point (2,1,3)(2,1,3) and has the point (−1,0,−1)(-1,0,-1) on its surface.

  4. The sphere whose diameter has endpoints (−3,1,−5)(-3,1,-5) and (7,9,−1)(7,9,-1).

Long, Keller & Schlicker, Active Calculus Multivariable, §9.2 Three Dimensional Space, Exercise 11

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.