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Byju's Answer
Standard VIII
Mathematics
Rhombus
If ABCDEF i...
Question
If
A
B
C
D
E
F
is a regular hexagon. prove that
→
A
B
–
––
–
+
→
A
C
–
––
–
+
→
A
E
–
––
–
+
→
A
F
–
––
–
=
2
→
A
D
–
––
–
.
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Solution
(
−
−
→
A
B
+
−
−
→
A
E
)
+
(
−
−
→
A
C
+
−
−
→
A
F
)
=
(
−
−
→
D
E
+
−
−
→
A
E
)
+
(
−
−
→
A
C
+
−
−
→
D
C
)
=
−
−
→
A
D
+
−
−
→
A
D
=
2
−
−
→
A
D
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Similar questions
Q.
A
B
C
D
E
F
is a hexagon. Prove that
→
A
E
+
→
A
B
=
→
A
C
+
→
A
F
.
Q.
If
A
B
C
D
E
F
is a regular hexagon and
→
A
B
+
→
A
C
+
→
A
D
+
→
A
E
+
→
A
F
=
λ
→
A
D
, then
λ
=
Q.
In a regular hexagon
A
B
C
D
E
F
,
→
A
B
+
→
A
C
+
→
A
D
+
→
A
E
+
→
A
F
=
k
→
A
D
, where
k
is equal to
Q.
Consider the regular hexagon
A
B
C
D
E
F
with centre at
O
(origin).
Five forces
→
A
B
,
→
A
C
,
→
A
D
,
→
A
E
,
→
A
F
act at the vertex
A
of a regular hexagon
A
B
C
D
E
F
, then their resultant is
Q.
A
B
C
D
E
F
be a regular hexagon and let
O
be its center. If forces
→
A
B
,
→
A
C
,
→
A
D
,
→
A
E
,
→
A
F
act at a point then their resultant is
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