а. v(Ã ·) = Ã × (V x B) + B x (v x Ä) + (Ã ·v)Ē + (B · V)Ā b. · (Ã × B) = B · (v × Ã) – Ã · (V × B) С. v x (A x B) = (B · v)Ā – (Ã ·v)B + Ã · (v·B) – B· (V·Ã)
а. v(Ã ·) = Ã × (V x B) + B x (v x Ä) + (Ã ·v)Ē + (B · V)Ā b. · (Ã × B) = B · (v × Ã) – Ã · (V × B) С. v x (A x B) = (B · v)Ā – (Ã ·v)B + Ã · (v·B) – B· (V·Ã)
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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Question
Transcribed Image Text:Prove that,
а.
v(Ä ·B) = A x (V x B) + B x (V x Ã) + (Ā v)B + (B · V)Ã
b.
v. (A x B) = B (V × A) – Ā · (V × B)
С.
× (Ã × B) = (B · v)Ã – (Ä • v)Ē + Ã · (V · B) – B : (V · Ã)
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