Find the flux of the vector field F across σ . F ( x , y , z ) = x 2 i + y x j + z x k; σ is the portion of the plain 6 x + 3 y + 2 z = 6 in the first octant by unit normals with positive components.
Find the flux of the vector field F across σ . F ( x , y , z ) = x 2 i + y x j + z x k; σ is the portion of the plain 6 x + 3 y + 2 z = 6 in the first octant by unit normals with positive components.
F
(
x
,
y
,
z
)
=
x
2
i
+
y
x
j
+
z
x
k;
σ
is the portion of the plain
6
x
+
3
y
+
2
z
=
6
in the first octant by unit normals with positive components.
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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