Are the following the vector fields conservative? If so, find the potential function f such that F = ∇ f . 435. F ( x , y , z ) − ( 2 x y + z 2 ) i + ( x 2 + 2 y z ) j+ ( 2 x z + y 2 ) k
Are the following the vector fields conservative? If so, find the potential function f such that F = ∇ f . 435. F ( x , y , z ) − ( 2 x y + z 2 ) i + ( x 2 + 2 y z ) j+ ( 2 x z + y 2 ) k
Are the following the vector fields conservative? If so, find the potential function
f
such that
F
=
∇
f
.
435.
F
(
x
,
y
,
z
)
−
(
2
x
y
+
z
2
)
i
+
(
x
2
+
2
y
z
)
j+
(
2
x
z
+
y
2
)
k
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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