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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 ║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

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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.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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