## Calculus: Early Transcendentals (2nd Edition)

Published by Pearson

# Chapter 11 - Vectors and Vector-Valued Functions - 11.2 Vectors in Three Dimensions - 11.2 Exercises: 23

#### Answer

$(x-1)^2 + (y-2)^2 + (z-3)^2 = 16$

#### Work Step by Step

Equation of a sphere with a center at $(a,b,c)$ and radius $r$: $(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$ Plug in the information: $(x-1)^2 + (y-2)^2 + (z-3)^2 = 4^2$

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