Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere that is centered at P and touches Q? (2) What is the equation of the plane containing the triangle ∆OPQ (where O is the origin)? (3) What is the equation of the line passing through O that’s parallel to line PQ?
Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere that is centered at P and touches Q? (2) What is the equation of the plane containing the triangle ∆OPQ (where O is the origin)? (3) What is the equation of the line passing through O that’s parallel to line PQ?
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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Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3.
(1) What is the equation of the sphere that is centered at P and touches Q?
(2) What is the equation of the plane containing the triangle ∆OPQ (where O is the origin)?
(3) What is the equation of the line passing through O that’s parallel to line PQ?
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