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Byju's Answer
Standard XII
Physics
Work Done as Dot Product
If A⃗ = 3 i...
Question
If
→
A
=
3
i
+
2
j
−
k
and
→
B
=
2
i
+
4
j
−
14
k
, then angle between
→
A
and
→
B
is:-
A
0
∘
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B
60
∘
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C
90
∘
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D
30
∘
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Solution
The correct option is
C
90
∘
We find that dot product of vector A and vector B is 0.So the angle between them is 90 degree.
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Similar questions
Q.
If
|
→
a
|
=
2
,
|
→
b
|
=
7
and
→
a
×
→
b
=
3
^
i
+
2
^
j
+
6
^
k
then the angle between
→
a
and
→
b
is
Q.
Find a vector perpendicular to each of the vectors
→
a
+
→
b
and
→
a
−
→
b
, where
→
a
=
∧
i
+
∧
j
+
∧
k
,
→
b
=
∧
i
+
2
∧
j
+
3
∧
k
.
Q.
If
→
a
=
i
+
j
−
k
,
→
b
=
i
−
j
+
k
,
→
c
is a vector perpendicular to
→
a
and coplanar with
→
a
and
→
b
then
→
c
=
Q.
If
→
r
×
→
b
=
→
c
×
→
b
&
→
r
,
→
a
=
0
where
→
a
=
2
∧
i
+
3
∧
j
−
∧
k
,
→
b
=
3
∧
i
−
∧
j
−
k
,
→
c
=
∧
i
+
∧
j
+
∧
k
then
→
r
Q.
If
→
a
and
→
b
are vectors in space given by
→
a
=
^
i
−
2
^
j
√
5
and
→
b
=
2
^
i
+
^
j
+
3
^
k
√
14
, then find the value of
(
2
→
a
+
→
b
)
⋅
[
(
→
a
×
→
b
)
×
(
→
a
−
2
→
b
)
]
.
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