# Gradient, Divergence and Curl (II)

Real Analysis

Gradient, Divergence and Curl (II)

Verify

1.▼*(F Ã— G) =G*▼Ã—F - F*▼Ã—G

2.▼Ã—(fF) = f▼Ã—F + (▼f)Ã—F

If (▼^2 = δ^2/δx^2 + δ^2/δy^2 + δ^2/δz^2)

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3. ▼*(f▼g - g▼f) = f▼^2g - g▼^2f

https://brainmass.com/math/linear-algebra/gradient-divergence-and-curl-ii-31422

#### 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 Ã— G) =G*▼Ã—F - F*▼Ã—G

2.▼Ã—(fF) = f▼Ã—F + (▼f)Ã—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.