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Mathematics
Problem
Let
a
\mathbf{a}
a
and
b
\mathbf{b}
b
be two unit vectors such that
a
^
+
b
^
\hat{\mathbf{a}} + \hat{\mathbf{b}}
a
^
+
b
^
is also a unit vector. Then, find the angle between
a
^
\hat{\mathbf{a}}
a
^
and
b
^
\hat{\mathbf{b}}
b
^
.
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