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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
Which of the ...
Question
Which of the following is the unit vector perpendicular to
→
A
and
→
B
?
A
^
A
×
^
B
A
B
sin
θ
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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
cos
θ
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Solution
The correct option is
C
→
A
×
→
B
A
B
sin
θ
Cross product of two vector is ,
→
A
×
→
B
=
A
B
sin
θ
^
n
Unit vector perpendicular to
→
A
and
→
B
^
n
=
→
A
×
→
B
A
B
sin
θ
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1
Similar questions
Q.
Which of the following is the unit vector perpendicular to
→
A
and
→
B
Q.
Which of the following is the unit vector perpendicular to
→
A
and
→
B
?
Q.
Given that
→
a
=
^
i
−
^
j
and
→
b
=
^
i
+
2
^
j
find a unit vector co-planar with
^
a
and
^
b
and perpendicular to
^
a
Q.
For any two vectors
^
a
and
^
b
prove that
(a)
|
→
a
+
→
b
|
≤
|
→
a
|
+
|
→
b
|
(b)
|
→
a
−
→
b
|
≤
|
→
a
|
+
|
→
b
|
Q.
Arrange the value of
|
a
+
b
+
c
|
in ascending order
A
.If
^
a
,
^
b
,
^
c
are mutually perpendicular unit vectors
B
. If
^
a
,
^
b
,
^
c
are vectors of lengths 2,3,4 respectively and
^
a
,
^
b
,
^
c
are perpendicular to
^
b
+
^
c
,
^
c
+
^
a
,
^
a
+
^
b
respectively.
C
. If
^
a
,
^
b
,
^
c
are vectors of lengths 4,4,5 respectively and
^
a
,
^
b
,
^
c
are perpendicular to
^
b
+
^
c
,
^
c
+
^
a
,
^
a
+
^
b
respectively.
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