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30. Let F, and F, be differentiable vector fields and let a and b be arbitrary real constants. Verify the following identities. a. V•(aF, + bF,) = aV •F, + bV · F, b. x (aF + БF) 3D аV хF + bT X F, с. П- (F X F) — F-VXF — F-TXF

30. Let F, and F, be differentiable vector fields and let a and b be arbitrary real constants. Verify the following identities. a. V•(aF, + bF,) = aV •F, + bV · F, b. x (aF + БF) 3D аV хF + bT X F, с. П- (F X F) — F-VXF — F-TXF

Calculus: Early Transcendentals
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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30. Let F, and F, be differentiable vector fields and let a and b be arbitrary real constants. Verify the following identities. a. V•(aF, + bF,) = aV •F, + bV · F, b. x (aF + БF) 3D аV хF + bT X F, с. П- (F X F) — F-VXF — F-TXF
Transcribed Image Text:30. Let F, and F, be differentiable vector fields and let a and b be arbitrary real constants. Verify the following identities. a. V•(aF, + bF,) = aV •F, + bV · F, b. x (aF + БF) 3D аV хF + bT X F, с. П- (F X F) — F-VXF — F-TXF
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