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# Gradient, Divergence and Curl

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Real Analysis
Gradient, Divergence and Curl (I)

If r = xi + yj + zk and R denote &#9553;r&#9553;
Verify
(1) &#9660;R^n = nR^(n-2) r
(2) &#9660;×(R^n r) = 0
Verify
(1) &#9660;*(F + G) = &#9660;*F + &#9660;*G
(2) &#9660;×(F + G) = &#9660;×F + &#9660;×G

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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:
If r = xi + yj + zk and R denote &#9553;r&#9553;
Verify
(1) &#9660;R^n = nR^(n-2) r
(2) &#9660;×(R^n r) = 0
Verify
(1) &#9660;*(F + G) = &#9660;*F + &#9660;*G
(2) &#9660;×(F + G) = &#9660;×F + &#9660;×G

Solution contains detailed step-by-step explanation.

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