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Mathematics
Mathematics
Problem
If
A
(
1
,
−
1
,
−
3
)
A(1, -1, -3)
A
(
1
,
−
1
,
−
3
)
,
B
(
2
,
1
,
−
2
)
B(2, 1, -2)
B
(
2
,
1
,
−
2
)
and
C
(
−
5
,
2
,
−
6
)
C(-5, 2, -6)
C
(
−
5
,
2
,
−
6
)
are the position vectors of the vertices of
△
A
B
C
\triangle ABC
△
A
B
C
. The length of the bisector of its internal angle at A is
λ
10
4
\frac{\lambda\sqrt{10}}{4}
4
λ
10
, then value of
λ
\lambda
λ
is
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