For the vector fields defined in part (b), evaluate separately each term in the iden- tity given in part (a) and hence verify the identity in this case.
For the vector fields defined in part (b), evaluate separately each term in the iden- tity given in part (a) and hence verify the identity in this case.
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
V=(y,2y,0) and w=(x-y,x+y,0)

Transcribed Image Text:For the vector fields defined in part (b), evaluate separately each term in the iden-
tity given in part (a) and hence verify the identity in this case.

Transcribed Image Text:v × (▼ × w) + w × (▼ × v) = ▼ (v · w) — (v · ▼ )w – (w · ▼ )v.
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