Let F x , y , z = a i + b j + c k be a constant vector field and let σ be the surface of a solid G . Use the Divergence Theorem to show that the flux of F across σ is zero. Give an informal physical explanation of this result.
Let F x , y , z = a i + b j + c k be a constant vector field and let σ be the surface of a solid G . Use the Divergence Theorem to show that the flux of F across σ is zero. Give an informal physical explanation of this result.
Let
F
x
,
y
,
z
=
a
i
+
b
j
+
c
k
be a constant vector field and let
σ
be the surface of a solid G. Use the Divergence Theorem to show that the flux of F across
σ
is zero. Give an informal physical explanation of this result.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Precalculus: Mathematics for Calculus - 6th Edition
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