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Byju's Answer
Standard XII
Mathematics
Definition of Ellipse
If a →, b →, ...
Question
If
a
→
,
b
→
,
c
→
are position vectors of the points A, B and C respectively, write the value of
A
B
→
+
B
C
→
+
A
C
→
.
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Solution
Given:
a
→
,
b
→
,
c
→
are the position vectors of
A
,
B
,
C
respectively. Then,
A
B
→
=
b
→
-
a
→
B
C
→
=
c
→
-
b
→
A
C
→
=
c
→
-
a
→
Therefore,
A
B
→
+
B
C
→
+
A
C
→
=
b
→
-
a
→
+
c
→
-
b
→
+
c
→
-
a
→
=
2
c
→
-
a
→
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