ic) if ai, b₁, C₁ (i = 1,2,3) are all real and a₁² + b₁² + ₁² = a₂² + c F ₁₂ + b₁ b₂ + C₁ C₂ = A₂3 + а203 2 2 b₂b3 + C2 C3 a3a₁ + b3b₁ + C3C₁ = 0, prove that a₁² + a₂²+ 2 a3 2 =b₁² + b₂² + b3² = C₁² + c₂² + c3² = 1 and a₁b₁ + a₂b₂ + a3b3b₁c₁ + b₂c₂ + b3c3 = c₁a₁ + c₂a₂ + c3α3 = 0. = b₂² + c₂² = a3²+ b3² + ₁² = 1; c3²
ic) if ai, b₁, C₁ (i = 1,2,3) are all real and a₁² + b₁² + ₁² = a₂² + c F ₁₂ + b₁ b₂ + C₁ C₂ = A₂3 + а203 2 2 b₂b3 + C2 C3 a3a₁ + b3b₁ + C3C₁ = 0, prove that a₁² + a₂²+ 2 a3 2 =b₁² + b₂² + b3² = C₁² + c₂² + c3² = 1 and a₁b₁ + a₂b₂ + a3b3b₁c₁ + b₂c₂ + b3c3 = c₁a₁ + c₂a₂ + c3α3 = 0. = b₂² + c₂² = a3²+ b3² + ₁² = 1; c3²
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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Transcribed Image Text:ic) if ai, bi, ci (i = 1,2,3) are all real and a₁² + b₁² + ₁² = a₂² +
b₂² + c₂² = a3² + b3 ² + c3 ² = 1; α₁ a₂ +b₁b₂ + C₁₂C₂ = A₂A3 +
a3a₁ + b3b₁ + c3C₁ = 0, prove that a₁²+ a₂²+
a3² = b₁² + b₂ ² + b3² = C₁² + c₂² + c3² = 1 and a₁b₁ + a₂b₂ +
2
b₂b3 + C₂ C3
2
2
2
a3b3b₁c₁ + b₂c₂ + b3c3 = c₁a₁ + c₂a₂ + C3α3 = 0.
=
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