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Spherical Coordinate System with Unit Vectors

​
r
5
θ
0.688009
ϕ
π
4
This Demonstration shows a vector
r
in the spherical coordinate system with coordinates
(r,θ,ϕ)
, where
r
is the length of
r
,
θ
is the angle in the
x
-
y
plane from the
x
axis to the projection of
r
onto the
x
-
y
plane, and
ϕ
is the angle between the
z
axis and
r
. Also shown is a unit vector
n
that is normal to the sphere (of radius
r
centered at the origin) at the red point and two unit vectors
t
1
and
t
2
that determine the tangent plane to the sphere at the red point.
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