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Mathematics
Mathematics
Problem
Let
A
(
1
,
−
1
,
3
)
A(1,-1,3)
A
(
1
,
−
1
,
3
)
and
B
(
5
,
7
,
−
1
)
B(5,7,-1)
B
(
5
,
7
,
−
1
)
be two points. A point
P
P
P
divides
A
B
AB
A
B
externally in the ratio
k
:
1
k:1
k
:
1
. If
P
P
P
lies on the plane
x
+
2
y
+
3
z
=
24
x+2y+3z=24
x
+
2
y
+
3
z
=
24
, determine the value of
k
k
k
. a)
−
2
-2
−
2
b)
2
2
2
c)
1
2
\dfrac{1}{2}
2
1
d)
−
4
-4
−
4
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