Answer:
Option A
Explanation:
We have,
OA = |2ˆi+2ˆj+ˆk| = 3;
OB = |2ˆi+4ˆj+4ˆk| = 6
Since the internal bisector divides opposite side in the

ratio of adjacent sides
ACBC=36=12
where OD is the bisector of <BOA .
.'. The position vector of C is
2(2ˆi+2ˆj+ˆk)+(2ˆi+4ˆj+4ˆk)2+1
=2ˆi+83ˆj+2ˆk
.'. OD = |2ˆi+83ˆj+2ˆk|
= √1369