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3. a) At what points does the line x = 1 + 2t, y = 2-t, z = t intersect the sphere x² + y² + z² = 10? b) At what points does the normal line through the point (1,2,1) on the ellipsoid 4x² + y² + 4z² = 12 intersect the sphere x² + y² + z² = 102.

3. a) At what points does the line x = 1 + 2t, y = 2-t, z = t intersect the sphere x² + y² + z² = 10? b) At what points does the normal line through the point (1,2,1) on the ellipsoid 4x² + y² + 4z² = 12 intersect the sphere x² + y² + z² = 102.

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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3:04 QO = 3. a) At what points does the line x = = 1 + 2t, y = 2 − t, z = t intersect the sphere x² + y² + z² b) At what points does the normal line through the point (1,2,1) on the ellipsoid 4x² + y² + 4z² 1 of 3 ..| 92% 10? 12 intersect the sphere x² + y² + z² = 102. = |||
Transcribed Image Text:3:04 QO = 3. a) At what points does the line x = = 1 + 2t, y = 2 − t, z = t intersect the sphere x² + y² + z² b) At what points does the normal line through the point (1,2,1) on the ellipsoid 4x² + y² + 4z² 1 of 3 ..| 92% 10? 12 intersect the sphere x² + y² + z² = 102. = |||
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