Find the flux of the vector field F across σ . F( x , y , z ) = x k ; σ is the square 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 in the xy - plane, oriented in the upward direction.
Find the flux of the vector field F across σ . F( x , y , z ) = x k ; σ is the square 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 in the xy - plane, oriented in the upward direction.
F(
x
,
y
,
z
)
=
x
k
;
σ
is the square
0
≤
x
≤
2
,
0
≤
y
≤
2
in the xy-plane, oriented in the upward direction.
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 (Standalone Book)
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