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Mathematics
Problem
(a) Define a unit vector. (b) If
u
\mathbf{u}
u
is any non-zero vector and
u
^
=
u
∣
u
∣
\displaystyle \hat{u}=\frac{\mathbf{u}}{|\mathbf{u}|}
u
^
=
∣
u
∣
u
, prove that the magnitude of
u
^
\hat{u}
u
^
is unity. (c) A vector
v
\mathbf{v}
v
has magnitude
7
7
7
. Can
v
\mathbf{v}
v
be a unit vector? Give a reason for your answer.
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