Find the flux of the vector field F across σ . F ( x , y , z ) = x k; the surface σ is the portion of the paraboloid z = x 2 + y 2 , below the plain z = y , oriented by downward unit normals.
Find the flux of the vector field F across σ . F ( x , y , z ) = x k; the surface σ is the portion of the paraboloid z = x 2 + y 2 , below the plain z = y , oriented by downward unit normals.
F
(
x
,
y
,
z
)
=
x
k;
the surface
σ
is the portion of the paraboloid
z
=
x
2
+
y
2
,
below the plain
z
=
y
,
oriented by downward unit normals.
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.
University Calculus: Early Transcendentals (4th Edition)
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