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Exercise 2.3. Prove the vector equation (r-a)· (r-b) = 0 represents a sphere and ive it's center and radius. Write r = (x, y, z), a = (a1, a2, az) and b= (b1, b2, b3).

Exercise 2.3. Prove the vector equation (r-a)· (r-b) = 0 represents a sphere and ive it's center and radius. Write r = (x, y, z), a = (a1, a2, az) and b= (b1, b2, b3).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercise 2.2. For each vector a bellow, find vector b such that comp.(b) = 2 (i) a = (5,0, 1), (ii) a = (-3, 6, 1). Exercise 2.3. Prove the vector equation (r-a) (r-b) =0 represents a sphere and give it's center and radius. Write r = (x, y, z), a = (a1, a2, a3) and b= (b1, b2, b3). %3D
Transcribed Image Text:Exercise 2.2. For each vector a bellow, find vector b such that comp.(b) = 2 (i) a = (5,0, 1), (ii) a = (-3, 6, 1). Exercise 2.3. Prove the vector equation (r-a) (r-b) =0 represents a sphere and give it's center and radius. Write r = (x, y, z), a = (a1, a2, a3) and b= (b1, b2, b3). %3D
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