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Byju's Answer
Standard XIII
Physics
Unit Vectors
Unit vector p...
Question
Unit vector perpendicular to both
→
A
and
→
B
is
A
→
A
×
→
B
|
→
A
|
|
→
B
|
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B
→
A
⋅
→
B
|
→
A
|
|
→
B
|
cos
θ
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C
→
A
×
→
B
|
→
A
|
|
→
B
|
sin
θ
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D
→
A
⋅
→
B
|
→
A
|
|
→
B
|
sin
θ
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Solution
The correct option is
C
→
A
×
→
B
|
→
A
|
|
→
B
|
sin
θ
Let
→
A
×
→
B
=
→
C
→
C
will be perpendicular to both
→
A
and
→
B
.
→
A
×
→
B
=
|
→
A
|
|
→
B
|
sin
θ
^
c
→
A
×
→
B
|
→
A
|
|
→
B
|
sin
θ
=
^
c
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Similar questions
Q.
Unit vector perpendicular to both
→
A
and
→
B
is
Q.
If
c
→
is a unit vector perpendicular to the vectors
a
→
and
b
→
,
write another unit vector perpendicular to
a
→
and
b
→
.
Q.
Let
a
→
=
a
1
i
^
+
a
2
j
^
+
a
3
k
^
,
b
→
=
b
1
i
^
+
b
2
j
^
+
b
3
k
^
and
c
→
=
c
1
i
^
+
c
2
j
^
+
c
3
k
^
be three non-zero vectors such that
c
→
is a unit vector perpendicular to both
a
→
and
b
→
. If the angle between
a
→
and
b
→
is
π
6
,
then
a
1
a
2
a
3
b
1
b
2
b
3
c
1
c
2
c
3
2
is equal to
(a) 0
(b) 1
(c)
1
4
a
→
2
b
→
2
(d)
3
4
a
→
2
b
→
2
Q.
If
a
=
λ
(
→
i
+
→
j
−
→
k
)
,
b
=
μ
.
(
→
i
−
→
j
+
→
k
)
,
and
c
are unit vectors perpendicular to the vector
a
and coplanar with
a
and
b
, then a unit vector
d
perpendicular to both
a
and
c
is
Q.
Let
a
=
i
−
j
,
b
=
i
+
k
, find a unit vector c perpendicular to a and coplanar with a and b. also find a unit vector d perpendicular to both a and c.
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