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Byju's Answer
Standard IX
Mathematics
Square
If a⃗×b⃗=c⃗...
Question
If
→
a
×
→
b
=
→
c
×
→
d
and
→
a
×
→
c
=
→
b
×
→
d
, then
→
a
−
→
d
,
→
b
−
→
c
are
A
Parallel
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B
Perpendicular
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C
Are inclined at an angle of
45
0
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D
Are inclined at an angle of
60
0
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Solution
The correct option is
A
Parallel
Given that
→
a
×
→
b
=
→
c
×
→
d
−
−
−
1
→
a
×
→
c
=
→
b
×
→
d
−
−
−
2
Subtract
(
1
)
−
(
2
)
→
a
×
(
→
b
−
→
c
)
=
(
→
c
−
→
d
)
×
→
d
(
→
a
−
→
d
)
×
(
→
b
−
→
c
)
=
0
So
(
→
a
−
→
d
)
∥
(
→
b
−
→
c
)
Suggest Corrections
0
Similar questions
Q.
If
→
a
×
→
b
=
→
c
×
→
d
and
→
a
×
→
c
=
→
b
×
→
d
, then the vectors
→
a
−
→
d
and
→
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
are coplanar vectors then
{
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
}
×
(
→
a
−
→
b
)
=
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