A.)Derive the formula V × (F × G) = (VG)F – (V.F)G – (F · V)G + (G.V)F. KDO Opet sap gom!!!

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A.) Derive the formula
V × (F x G) = (VG)F - (V.F)G – (F. V)G + (G.V)F.
Tip: it is definitely worth using index entries, for example,
[V × (F × G)]k = €ijkdi[F × G]j, [(G.V)F]k = GidiFk, [(V∙G)F]k = (diGi)Fk.
Transcribed Image Text:A.) Derive the formula V × (F x G) = (VG)F - (V.F)G – (F. V)G + (G.V)F. Tip: it is definitely worth using index entries, for example, [V × (F × G)]k = €ijkdi[F × G]j, [(G.V)F]k = GidiFk, [(V∙G)F]k = (diGi)Fk.
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