P and Q are points on the sphere 1 x² + y² + x² = 4. P₁ and Q₁ are the foots of two perpendiculars from P and Q to the plane y = 4 respectively. P₂ and Q₂ are the foots of two perpendiculars from P and Q to the plane y+√3z +8= 0 respectively. Find the maximum of 2|vec (PQ)|² — |vec (P₁Q₁)|² — |vec (P₂Q2)|²|

P and Q are points on the sphere 1 x² + y² + x² = 4. P₁ and Q₁ are the foots of two perpendiculars from P and Q to the plane y = 4 respectively. P₂ and Q₂ are the foots of two perpendiculars from P and Q to the plane y+√3z +8= 0 respectively. Find the maximum of 2|vec (PQ)|² — |vec (P₁Q₁)|² — |vec (P₂Q2)|²|

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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