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Gradient, Divergence and Curl (II)

Real Analysis
Gradient, Divergence and Curl (II)

Verify
1.▼*(F × G) =G*▼×F - F*▼×G
2.▼×(fF) = f▼×F + (▼f)×F

If (▼^2 = δ^2/δx^2 + δ^2/δy^2 + δ^2/δz^2)
Show
3. ▼*(f▼g - g▼f) = f▼^2g - g▼^2f

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Solution Summary

This solution is comprised of a detailed explanation of the problems of Gradient, Divergence and Curl.
It contains step-by-step explanation for the following problem:
Verify
1.▼*(F × G) =G*▼×F - F*▼×G
2.▼×(fF) = f▼×F + (▼f)×F

If (▼^2 = δ^2/δx^2 + δ^2/δy^2 + δ^2/δz^2)
Show
3. ▼*(f▼g - g▼f) = f▼^2g - g▼^2f

Solution contains detailed step-by-step explanation.

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