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Question 1 (3 Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). → (a) Find the equation of the sphere with center A and radius BC. (b) Does the sphere in part a) pass through the point B?

Question 1 (3 Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). → (a) Find the equation of the sphere with center A and radius BC. (b) Does the sphere in part a) pass through the point B?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You need to provide a clear and detailed solution for the following Questions: Question 1 (3 Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). →>> (a) Find the equation of the sphere with center A and radius |BC|. (b) Does the sphere in part a) pass through the point B? → → (b) Find the parametric equations of the Line that passes through the point B and is perpendicular to both vectors = AB + AC and ->> ->> wBA+ AC.
Transcribed Image Text:You need to provide a clear and detailed solution for the following Questions: Question 1 (3 Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). →>> (a) Find the equation of the sphere with center A and radius |BC|. (b) Does the sphere in part a) pass through the point B? → → (b) Find the parametric equations of the Line that passes through the point B and is perpendicular to both vectors = AB + AC and ->> ->> wBA+ AC.
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