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Byju's Answer
Standard XII
Mathematics
Multiplication of a Vector by a Scalar
Let a⃗,b⃗ b...
Question
Let
→
a
,
→
b
be two noncollinear vectors. If
→
c
=
(
x
−
2
)
→
a
+
→
b
,
→
d
=
(
2
x
+
1
)
→
a
−
→
b
are collinear then
x
=
A
1
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B
1
2
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C
1
3
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D
1
4
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Solution
The correct option is
B
1
3
c
=
k
d
(
x
−
2
)
a
+
b
=
k
(
(
2
x
+
1
)
a
−
b
)
As
a
&
b
are non collinear so
1
=
−
k
−
(
2
x
+
1
)
=
x
−
2
−
2
x
−
1
=
x
−
2
1
=
3
x
x
=
1
3
Suggest Corrections
0
Similar questions
Q.
Let
→
a
and
→
b
be two vectors such that
|
→
a
|
=
1
,
|
→
b
|
=
4
and
→
a
⋅
→
b
=
2.
If
→
c
=
(
2
→
a
×
→
b
)
−
3
→
b
,
then the angle between
→
b
and
→
c
is
Q.
Let
∣
→
a
∣
=
1
,
∣
→
b
∣
=
2
and
∣
→
c
∣
=
3
and
→
a
,
→
b
,
→
c
be threee non-coplanar vectors. If
∣
→
d
∣
=
4
, then
∣
[
→
d
→
b
→
c
]
→
a
+
[
→
d
→
c
→
a
]
→
b
+
[
→
d
→
a
→
b
]
→
c
[
→
a
→
b
→
c
]
∣
is equal to
Q.
If vectors
(
x
−
2
)
→
a
+
→
b
and
(
2
x
+
1
)
→
a
−
→
b
are parallel then
x
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
→
a
,
→
b
,
→
c
,
→
d
are coplanar vectors then
{
(
→
a
×
→
b
)
×
(
→
c
×
→
d
)
}
×
(
→
a
−
→
b
)
=
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