# 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

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 × 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.