Example Divergence

Determine the divergence of the vector A = x2 zi — 2y3z2j + xy2zk at point (1, -1,1). Solution:

v d . d. d,\ ,2. 3 2. 2,. dx1 + dy3 + dzk / •(x - 2y z j + xy zk)

2(1)(1) — 6( 1)2(1)2 + (1)( —1)2 = —3 at (1, —1,1)

Mathematica solution is shown in Fig. 3.8

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