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Vx(av) = Vaxv+a (Vxv) V (aT) = Va T+a(V.T) V(v⋅w) = (Vv). w + (Vw). v

Vx(av) = Vaxv+a (Vxv) V (aT) = Va T+a(V.T) V(v⋅w) = (Vv). w + (Vw). v

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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Prove the following identities using index notation. a is a scalar field. Stepwise please
Vx(av) = Vaxv+a (V xv) V. (aT) = Va T+ a(V.T) V(vw)=(Vv).w+(Vw). v W
Transcribed Image Text:Vx(av) = Vaxv+a (V xv) V. (aT) = Va T+ a(V.T) V(vw)=(Vv).w+(Vw). v W
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