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Mathematics
Problem
A
B
⃗
=
3
i
^
+
j
^
−
k
^
\vec{AB} = 3\hat{i} + \hat{j} - \hat{k}
A
B
=
3
i
^
+
j
^
−
k
^
and
A
C
⃗
=
i
^
−
j
^
+
3
k
^
\vec{AC} = \hat{i} - \hat{j} + 3\hat{k}
A
C
=
i
^
−
j
^
+
3
k
^
. If the point
P
P
P
on the line segment
B
C
BC
B
C
is equidistant from
A
B
AB
A
B
and
A
C
AC
A
C
, then
A
P
⃗
\vec{AP}
A
P
is (1)
2
i
^
−
k
^
2\hat{i} - \hat{k}
2
i
^
−
k
^
(3)
2
i
^
+
k
^
2\hat{i} + \hat{k}
2
i
^
+
k
^
(2)
i
^
−
2
k
^
\hat{i} - 2\hat{k}
i
^
−
2
k
^
(4)
i
^
+
2
k
^
\hat{i} + 2\hat{k}
i
^
+
2
k
^
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