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Virtual Math Learning Center

Virtual Math Learning Center Texas A&M University Virtual Math Learning Center

Section 12.1 – Three-Dimensional Coordinate System


Exercises

Directions: You should try to solve each problem first, and then click "Reveal Answer" to check your answer. You can click "Watch Video" if you need help with a problem.

1. What does \(y = 6-z\) represent in \(\mathbb{R}^3?\)

A plane

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2. Find the center and radius of the sphere \[x^2+y^2+z^2-x+4y-10z = 1\]

\(C\left(\dfrac{1}{2}, -2, 5\right)\), \(\quad r = \dfrac{11}{2}\)

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3. Find an equation of the sphere if one of its diameters has endpoints \((2,1,-3)\) and \((8,3,5).\)

\((x-5)^2+(y-2)^2+(z-1)^2=26\)

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