Suppose that the surface σ of the unit cube in the accompanying figure has an outward orientation. In each part, determine whether the flux of the vector field F( x , y , z ) = z j across the specified face is positive, negative, or zero. (a) The face x = 1 (b) The face x = 0 (c) The face y = 1 (d) The face y = 0 (e) The face z = 1 (f) The face z = 0
Suppose that the surface σ of the unit cube in the accompanying figure has an outward orientation. In each part, determine whether the flux of the vector field F( x , y , z ) = z j across the specified face is positive, negative, or zero. (a) The face x = 1 (b) The face x = 0 (c) The face y = 1 (d) The face y = 0 (e) The face z = 1 (f) The face z = 0
Suppose that the surface
σ
of the unit cube in the accompanying figure has an outward orientation. In each part, determine whether the flux of the vector field
F(
x
,
y
,
z
)
=
z
j
across the specified face is positive, negative, or zero.
(a)
The face
x
=
1
(b)
The face
x
=
0
(c)
The face y
=
1
(d)
The face y
=
0
(e)
The face z
=
1
(f)
The face z
=
0
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.
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