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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
If the angle ...
Question
If the angle between the vectors
→
A
and
→
B
is
θ
, then the value of the product
(
→
B
×
→
A
)
.
→
A
equals
A
B
A
2
sin
θ
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B
B
A
2
cos
θ
sin
θ
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C
B
A
2
cos
θ
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D
z
e
r
o
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Solution
The correct option is
B
z
e
r
o
(
→
B
×
→
A
)
⋅
→
A
=
−
B
A
sin
θ
^
n
⋅
→
A
=
0
Vector
→
A
and
^
n
are perpendicular to each other as direction of
^
n
can be given by right hand screw rule.
Dot product of two vectors is zero when they are perpendicular to each other.
Suggest Corrections
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Similar questions
Q.
→
A
and
→
B
are two vectors and
θ
is the angle between them, if
|
→
A
×
→
B
|
=
√
3
(
→
A
⋅
→
B
)
the value of
θ
is
Q.
Let
→
a
,
→
b
and
→
c
be three non-zero vectors such that no two of them are collinear and
(
→
a
×
→
b
)
×
→
c
=
1
3
|
→
b
|
|
→
c
|
→
a
. If
θ
is the angle between vectors
→
b
and
→
c
, then a value of sin
θ
is :
Q.
Let
→
a
,
→
b
and
→
c
be non-zero vectots such that (
→
a
→
b
)
→
c
=
1
3
∣
∣
→
b
∣
∣
|
→
c
|
→
a
. If
θ
is the acute angle between the
→
b
and
→
c
, then sin
θ
equals
Q.
→
A
and
→
B
are two vectors and
θ
is the angle between them, if
|
→
A
×
→
B
|
=
√
3
(
→
A
.
→
B
)
, the value of
θ
is
Q.
Let
→
a
,
→
b
and
→
c
be the three vectors having magnitudes
1
,
5
and
3
respectively, such that the angle between
→
a
and
→
b
is
θ
and
→
a
×
(
→
a
×
→
b
)
=
→
c
, then tan
θ
is equal to
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