# Gradient, Divergence and Curl

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Real Analysis

Gradient, Divergence and Curl (I)

If r = xi + yj + zk and R denote ║r║

Verify

(1) ▼R^n = nR^(n-2) r

(2) ▼Ã—(R^n r) = 0

Verify

(1) ▼*(F + G) = ▼*F + ▼*G

(2) ▼Ã—(F + G) = ▼Ã—F + ▼Ã—G

https://brainmass.com/math/graphs-and-functions/31420

#### 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:

If r = xi + yj + zk and R denote ║r║

Verify

(1) ▼R^n = nR^(n-2) r

(2) ▼Ã—(R^n r) = 0

Verify

(1) ▼*(F + G) = ▼*F + ▼*G

(2) ▼Ã—(F + G) = ▼Ã—F + ▼Ã—G

Solution contains detailed step-by-step explanation.

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