Consider the sphere S centered at A (-4, 3, 4) and passing by B (1, -1, 9). Let πT be the plane tangent to S at the point B. (a) Find the radius of the sphere S. r = A (b) Find a vector which is perpendicular to the plane πT ñ = { (c) Find a standard equation for the plane TT. πT: B

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the sphere S centered at A (-4, 3, 4) and passing by B (1, -1, 9). Let πT
be the plane tangent to S at the point B.
(a) Find the radius of the sphere S.
r =
A
(b) Find a vector which is perpendicular to the plane πT
ñ = {
(c) Find a standard equation for the plane TT.
πT:
B
Transcribed Image Text:Consider the sphere S centered at A (-4, 3, 4) and passing by B (1, -1, 9). Let πT be the plane tangent to S at the point B. (a) Find the radius of the sphere S. r = A (b) Find a vector which is perpendicular to the plane πT ñ = { (c) Find a standard equation for the plane TT. πT: B
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