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Byju's Answer
Standard XII
Mathematics
Section Formula
If a →, b...
Question
If
→
a
,
→
b
are the position vectors of A, B respectively, find the position vector of a point C in AB produced such that AC = 3 AB and that a point D in BA produced such that BD = 2 BA.
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Solution
given
→
O
A
=
→
a
,
→
O
B
=
→
b
→
A
C
=
3
→
A
B
and
B
D
=
2
B
A
to find
:
→
O
C
and
→
O
D
→
O
C
−
→
O
A
=
3
(
→
O
B
−
→
O
A
)
→
O
C
−
→
a
=
3
(
→
b
−
→
a
)
→
O
C
=
3
→
b
−
2
→
a
podition vector of
C
=
3
→
b
−
2
→
a
→
B
D
=
2
→
B
A
→
O
D
−
→
O
B
=
2
(
→
O
A
−
→
O
B
)
→
O
D
−
→
b
=
2
(
→
a
−
→
b
)
→
O
D
=
2
→
a
−
→
b
position vector of
→
O
D
=
2
→
a
−
→
b
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If
a
,
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are the position vectors of A, B respectively, find the position vector of a point C in AB produced such that AC = 3 AB and that a point D in BA produced such that BD = 2BA.