>>> from sympy import *
>>> v=symbols('v:3',real=True);v
(v0, v1, v2)
>>> V=Matrix(v);V
Matrix([
[v0],
[v1],
[v2]])
>>> U=V.normalized()
>>> U
Matrix([
[v0/sqrt(v0**2 + v1**2 + v2**2)],
[v1/sqrt(v0**2 + v1**2 + v2**2)],
[v2/sqrt(v0**2 + v1**2 + v2**2)]])
>>> U.norm()
sqrt(v0**2/(-v0**2 - v1**2 - v2**2) + v1**2/(-v0**2 - v1**2 - v2**2) +
v2**2/(-v0**2 - v1**2 - v2**2))
>>> _.simplify()
I
>>>
Why is U.norm() NOT equal 1?
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