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Mathematics
Problem
If
a
\mathbf{a}
a
and
b
\mathbf{b}
b
are two unit vectors and
θ
\theta
θ
is the angle between them, then the unit vector along the angular bisector of
a
\mathbf{a}
a
and
b
\mathbf{b}
b
will be given by a.
a
−
b
2
cos
(
θ
/
2
)
\frac{\mathbf{a} - \mathbf{b}}{2\cos(\theta/2)}
2
c
o
s
(
θ
/2
)
a
−
b
b.
a
+
b
2
cos
(
θ
/
2
)
\frac{\mathbf{a} + \mathbf{b}}{2\cos(\theta/2)}
2
c
o
s
(
θ
/2
)
a
+
b
c.
a
−
b
cos
(
θ
/
2
)
\frac{\mathbf{a} - \mathbf{b}}{\cos(\theta/2)}
c
o
s
(
θ
/2
)
a
−
b
d. None of these
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