37. Let the position vectors of two points A and B
be a+b+c and a - 2b +3c respectively. If the
points P and divide AB in the ratio 1 : 3
internally and externally respectively, then
3।AB। =
(A) 4।PQ।
(B) 3। PQ।
(C)1\2।PQ।
(D) 2। PQ।
Answers
Answered by
0
Answer:
OA
=2
a
−3
b
OB
=6
b
−
a
Since P divides AB in 1:2 internally, so,
OP
=
1+2
1.
OB
+2.
OA
=
1+2
1.(6
b
−
a
)+2.(2
a
−3
b
)
Therefore,
OP
=
3
3
a
=
a
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