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Byju's Answer
Standard XII
Physics
Unit Vectors
If a⃗=2î+4ĵ...
Question
If
→
a
=
2
^
i
+
4
^
j
−
5
^
k
,
→
b
=
^
i
+
^
j
+
^
k
,
→
c
=
^
j
+
2
^
k
, then the unit vectors parallel to
→
a
+
→
b
+
→
c
is
A
±
1
7
(
3
^
i
+
6
^
j
−
2
^
k
)
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B
(
3
^
i
+
6
^
j
−
2
^
k
)
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C
±
1
7
(
3
^
i
+
6
^
j
+
2
^
k
)
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D
(
3
^
i
+
6
^
j
+
2
^
k
)
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Solution
The correct option is
A
±
1
7
(
3
^
i
+
6
^
j
−
2
^
k
)
Let
→
V
=
→
a
+
→
b
+
→
c
=
3
^
i
+
6
^
j
−
2
k
^
V
=
→
V
∣
∣
→
V
∣
∣
=
±
1
7
(
3
^
i
+
6
^
j
−
2
^
k
)
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0
Similar questions
Q.
I: If
→
a
=
3
^
i
−
2
^
j
+
^
k
,
→
b
=
2
^
i
−
4
^
j
−
3
^
k
,
→
c
=
−
^
i
+
2
^
j
+
2
^
k
then
→
a
+
→
b
+
→
c
=
4
^
i
−
4
^
j
II: If
→
a
=
^
i
−
^
j
+
2
^
k
,
→
b
=
2
^
i
+
3
^
j
+
^
k
,
→
c
=
^
i
−
^
k
, then magnitude of
→
a
+
2
→
b
−
3
→
c
is
√
78
Q.
The vector
→
a
=
1
/
7
(
2
^
i
+
3
^
j
+
6
^
k
)
,
→
b
=
1
/
7
(
3
^
i
−
6
^
j
+
2
^
k
)
,
→
c
=
1
/
7
(
6
^
i
+
2
^
j
−
3
^
k
)
form
Q.
Vertices of a triangle are represented by vectors
→
A
=
^
i
−
2
^
j
+
2
^
k
,
→
B
=
2
^
i
+
^
j
−
^
k
and
→
C
=
3
^
i
−
^
j
+
2
^
k
. Then,
Q.
If
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
and
→
c
=
3
^
i
+
^
j
+
2
^
k
. Find
→
a
⋅
(
→
b
×
→
c
)
.
Q.
Find
→
a
⋅
(
→
b
×
→
c
)
, if
→
a
=
2
^
i
+
^
j
+
3
^
k
,
→
b
=
−
^
i
+
2
^
j
+
^
k
and
→
c
=
3
^
i
+
^
j
+
2
^
k
.
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