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Byju's Answer
Standard XII
Physics
Vector Addition
If A⃗+B⃗+C⃗...
Question
If
→
A
+
→
B
+
→
C
+
→
D
=
→
0
then
∣
∣
→
A
+
→
C
∣
∣
is equal to :
A
∣
∣
→
B
+
→
D
∣
∣
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B
∣
∣
→
B
−
→
D
∣
∣
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C
∣
∣
→
A
+
→
D
∣
∣
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D
∣
∣
→
B
+
→
C
∣
∣
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Solution
The correct option is
A
∣
∣
→
B
+
→
D
∣
∣
Given,
→
A
+
→
B
+
→
C
+
→
D
=
0
or
→
A
+
→
C
=
−
(
→
B
+
→
D
)
Take mod on both sides,
|
→
A
+
→
C
|
=
|
−
(
→
B
+
→
D
)
|
=
|
→
B
+
→
D
|
(as
|
x
|
=
|
−
x
|
)
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0
Similar questions
Q.
If
→
a
×
→
b
=
→
c
×
→
d
and
→
a
×
→
c
=
→
b
×
→
d
, then
→
a
−
→
d
,
→
b
−
→
c
are
Q.
If
→
a
,
→
b
,
→
c
,
→
d
are non-coplanar vectors then the vector
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
+
(
→
a
×
→
c
)
×
(
→
d
×
→
b
)
+
(
→
a
×
→
d
)
×
(
→
b
×
→
c
)
is parallel to:
Q.
If
→
b
,
→
c
,
→
d
are non-coplanar vectors then the vector
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
+
(
→
a
×
→
c
)
×
(
→
d
×
→
b
)
+
(
→
a
×
→
d
)
×
(
→
b
×
→
c
)
is parallel to
Q.
If
→
b
,
→
c
,
→
d
are non-coplanar vectors, then the vector
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
+
(
→
a
×
→
c
)
×
(
→
d
×
→
b
)
+
(
→
a
×
→
d
)
×
(
→
b
×
→
c
)
is parallel to
Q.
If
→
a
×
→
b
=
→
c
×
→
d
and
→
a
×
→
c
=
→
b
×
→
d
, then the vectors
→
a
−
→
d
and
→
b
−
→
c
are
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