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1 P and Q are points on the sphere 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 to the plane y + √√√3z +8=0 respectively. How do I find the maximum of 2|(PQ)|² − |(P₁Q₁)|² − |(P2Q2)|² ?

1 P and Q are points on the sphere 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 to the plane y + √√√3z +8=0 respectively. How do I find the maximum of 2|(PQ)|² − |(P₁Q₁)|² − |(P2Q2)|² ?

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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1 P and Q are points on the sphere x² + y² + z² = 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. How do I find the maximum of 2|(PQ)|² − |(P₁Q₁)|² − |(P₂Q2)|² ?
Transcribed Image Text:1 P and Q are points on the sphere x² + y² + z² = 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. How do I find the maximum of 2|(PQ)|² − |(P₁Q₁)|² − |(P₂Q2)|² ?
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