Share
Explore BrainMass

Gradient, Divergence and Curl

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) ▼×(R^n r) = 0
Verify
(1) ▼*(F + G) = ▼*F + ▼*G
(2) ▼×(F + G) = ▼×F + ▼×G

Attachments

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) ▼×(R^n r) = 0
Verify
(1) ▼*(F + G) = ▼*F + ▼*G
(2) ▼×(F + G) = ▼×F + ▼×G

Solution contains detailed step-by-step explanation.

$2.19