We consider two spheres in 3-space. The first sphere has radius 5 and is centered at the origin (0,0,0). The second sphere is tangent to the first sphere and is centered at (6,-8,9). We want to find the point of intersection P of these two spheres. Consider the following two cases. Case #1. Smaller sphere.

We consider two spheres in 3-space. The first sphere has radius 5 and is centered at the origin (0,0,0). The second sphere is tangent to the first sphere and is centered at (6,-8,9). We want to find the point of intersection P of these two spheres. Consider the following two cases. Case #1. Smaller sphere.

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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Question

We consider two spheres in 3-space. The first sphere has radius 5 and is centered at the origin (0,0,0). The second sphere is tangent to the first sphere
and is centered at (6,-8,9). We want to find the point of intersection P of these two spheres. Consider the following two cases.
Case #1. Smaller sphere.
A
P.
(a) OP =
(b) P = (
Case #2. Bigger sphere.
(e) OP =
(d) P =

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