GDC-13
3
35 (b) Rewrite as Thus, we obtain Then, At the point (1,0,−1), The unit normal vector is 6 2 ˆ k j i n 6 2 1 1 2 2 2 and 2 3 ) , , ( z y xe z y x y k j i z y xe e y y 2 ) 3 ( 2 2 3 z y xe y 0 2 3 z y xe y k j i k j i 2 ) 1 ( 2 ] ) 0 ( 3 1 [ 2 0 0 e e
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Transcript of GDC-13
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35
(b) Rewrite as
Thus, we obtain
Then,
At the point (1,0,1),
The unit normal vector is6
2
kjin
6211 222 and
23),,( zyxezyx y
kji zyxee yy 2)3( 2
23 zyxey 023 zyxey
kjikji 2)1(2])0(31[ 200 ee
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36
Divergence of Vector Fields
The divergence is an operator that
measures the magnitude of a vector field's
source or sink at a given point
The divergence of a vector field is a scalar
(x,y,z)V (x dx,y,z)V
x x+dx
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37
The divergence of a vector field
is defined as
z
F
y
F
x
F
FFFzyx
321
321 )(
div
kjikji
FF
kjiF ),,(),,(),,(),,( 321 zyxFzyxFzyxFzyx
