Verify Formula (2) in stokes’ Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F ( x , y , z ) = x i+ y j+ z k; σ is the upper hemisphere z = a 2 − x 2 − y 2 .
Verify Formula (2) in stokes’ Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F ( x , y , z ) = x i+ y j+ z k; σ is the upper hemisphere z = a 2 − x 2 − y 2 .
Verify Formula (2) in stokes’ Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation.
F
(
x
,
y
,
z
)
=
x
i+
y
j+
z
k;
σ
is the upper hemisphere
z
=
a
2
−
x
2
−
y
2
.
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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