For the following exercises, use Stokes’ theorem to evaluate ∬ s ( c u r l F ⋅ N ) d S for the vector fields and surface. 344. Use Stokes’ theorem to evaluate line integral ∫ c ( z d x + x d y + y d z ) , where C is a triangle with vertices ( 3 , 0 , 0 ) , ( 0 , 0 , 2 ) , and ( 0 , 6 , 0 ) traversed in the given order.
For the following exercises, use Stokes’ theorem to evaluate ∬ s ( c u r l F ⋅ N ) d S for the vector fields and surface. 344. Use Stokes’ theorem to evaluate line integral ∫ c ( z d x + x d y + y d z ) , where C is a triangle with vertices ( 3 , 0 , 0 ) , ( 0 , 0 , 2 ) , and ( 0 , 6 , 0 ) traversed in the given order.
For the following exercises, use Stokes’ theorem to evaluate
∬
s
(
c
u
r
l
F
⋅
N
)
d
S
for the vector fields and surface.
344. Use Stokes’ theorem to evaluate line integral
∫
c
(
z
d
x
+
x
d
y
+
y
d
z
)
, where C is a triangle with vertices
(
3
,
0
,
0
)
,
(
0
,
0
,
2
)
, and
(
0
,
6
,
0
)
traversed in the given order.
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.
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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