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JEEMAIN-2017
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Q)
Let
→
a
=
2
ˆ
i
+
ˆ
j
−
2
ˆ
k
and
→
b
=
ˆ
i
+
ˆ
j
. Let
→
c
be a vector such that
|
→
c
−
→
a
|
=
3
,
|
(
→
a
×
→
b
)
×
→
c
|
=
3
and the angle between
→
c
and
→
a
×
→
b
be
30
∘
. Then
→
a
.
→
c
is equal to :
(
1
)
2
(
2
)
5
(
3
)
1
8
(
4
)
25
8
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