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Byju's Answer
Standard XII
Physics
Introduction
If a=i-j+k ...
Question
If
→
a
=
ˆ
i
−
ˆ
j
+
ˆ
k
and
→
b
=
2
ˆ
i
−
ˆ
j
+
3
ˆ
k
,
then the unit vector along
→
a
+
→
b
is:
A
3
i
+
4
k
5
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B
−
3
i
+
4
k
5
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C
−
3
i
−
4
k
5
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D
None of these
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Solution
The correct option is
D
None of these
→
a
+
→
b
=
3
ˆ
i
−
2
ˆ
j
+
4
ˆ
k
∴
Required unit vector
→
a
+
→
b
|
→
a
+
→
b
|
=
3
ˆ
i
−
2
ˆ
j
+
4
ˆ
k
√
3
2
+
(
−
2
)
2
+
4
2
=
3
ˆ
i
−
2
ˆ
j
+
4
ˆ
k
√
29
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Similar questions
Q.
Express
−
i
−
3
j
+
4
k
as the linear combination of the vectors
2
i
+
j
−
4
k
,
2
i
−
j
+
3
k
is
3
i
+
j
−
2
k
Q.
The vectors
2
¯
i
−
3
¯
j
+
4
¯
¯
¯
k
,
¯
i
−
2
¯
j
+
3
¯
¯
¯
k
and
3
¯
i
+
¯
j
−
2
¯
¯
¯
k
Q.
If
a
=
3
i
+
3
j
+
4
k
,
b
=
i
+
j
+
k
and
c
=
4
i
+
2
j
+
3
k
then
1
5
√
2
|
a
×
(
b
×
c
)
|
is equal to
Q.
If
a
→
=
3
i
^
-
j
^
-
4
k
^
,
b
→
=
-
2
i
^
+
4
j
^
-
3
k
^
and
c
→
=
i
^
+
2
j
^
-
k
^
,
find
3
a
→
-
2
b
→
+
4
c
→
.
Q.
Show that the points whose position vectors are as given below are collinear:
(i)
2
i
^
+
j
^
-
k
^
,
3
i
^
-
2
j
^
+
k
^
and
i
^
+
4
j
^
-
3
k
^
(ii)
3
i
^
-
2
j
^
+
4
k
^
,
i
^
+
j
^
+
k
^
and
-
i
^
+
4
j
^
-
2
k
^
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