For any two vectors u and v, prove that . (u. v)² + \ux v² = | uff and i ->> 2² +²²+1²²)=0-7₂²² +17+X+(XXX)²² ->>

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For any two vectors u and v, prove that
a. (u. v)² +|ux v² = |u²|v² and
b. (1 + ²) (1 +
→→
³) = (1-u. v)² + | u + v + (u × v ) ²
Transcribed Image Text:For any two vectors u and v, prove that a. (u. v)² +|ux v² = |u²|v² and b. (1 + ²) (1 + →→ ³) = (1-u. v)² + | u + v + (u × v ) ²
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