For all differentiable vector fields v(r) and w(r), use index notation to show that - . - . v × (▼ × w) + w× (▼ × v) = ▼ (v · w) — (v · ▼)w – (w · ▼ )v.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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For all differentiable vector fields v(r) and w(r), use index notation to show that
v × (▼ × w) + w × (▼ × v) = ▼ (v · w) — (v · ▼ )w – (w · V)v.
x
Transcribed Image Text:For all differentiable vector fields v(r) and w(r), use index notation to show that v × (▼ × w) + w × (▼ × v) = ▼ (v · w) — (v · ▼ )w – (w · V)v. x
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