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Byju's Answer
Standard XI
Physics
Unit Vectors
Given A = 2i ...
Question
Given
A
=
2
ˆ
i
+
3
ˆ
j
and
B
=
ˆ
i
+
ˆ
j
. The component of vector A along vector B is
A
1
√
2
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B
3
√
2
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C
5
√
2
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D
7
√
2
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Solution
The correct option is
C
5
√
2
Component of
¯
A
along
¯
B
=
¯
A
.
¯
B
|
B
|
=
(
2
^
i
+
3
^
j
)
.
(
^
i
+
^
j
)
√
1
2
+
1
2
=
2
ˆ
i
.
^
i
+
2
ˆ
i
.
ˆ
j
+
3
ˆ
j
.
^
i
+
3
^
j
.
^
j
√
1
2
+
1
2
=
2
+
0
+
0
+
3
√
2
=
5
√
2
.
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6
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