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Byju's Answer
Standard IX
Mathematics
Co-Ordinates of a Point in a Plane
If a → and b ...
Question
If
a
→
a
n
d
b
→
are the position vectors of A and B respectively, then the position vector of a point C on AB produced such that
A
C
→
=
3
A
B
→
is
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Solution
Given:
A
C
→
=
3
A
B
→
Let
c
→
is the position vectors of C.
A
C
→
=
3
A
B
→
⇒
c
→
-
a
→
=
3
b
→
-
a
→
⇒
c
→
-
a
→
=
3
b
→
-
3
a
→
⇒
c
→
=
3
b
→
-
3
a
→
+
a
→
⇒
c
→
=
3
b
→
-
2
a
→
Hence, If
a
→
and
b
→
are the position vectors of A and B respectively, then the position vector of a point C on AB produced such that
A
C
→
=
3
A
B
→
is
3
b
→
-
2
a
→
.
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