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Byju's Answer
Standard XII
Physics
Vector Component
Component of ...
Question
Component of
3
^
i
+
4
^
j
perpendicular to
^
i
+
^
j
and in the same plane as that of
3
^
i
+
4
^
j
is
A
1
2
(
−
^
i
+
^
j
)
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B
1
3
(
^
i
−
^
j
)
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C
1
4
(
−
^
i
+
^
j
)
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D
1
5
(
^
i
−
^
j
)
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Solution
The correct option is
A
1
2
(
−
^
i
+
^
j
)
We know that component of
→
A
perpendicular to
→
B
is
→
A
−
(
→
A
.
→
B
)
→
B
|
→
B
|
2
Component of
3
^
i
+
4
^
j
perpendicular to
(
^
i
+
^
j
)
is
(
3
^
i
+
4
^
j
)
−
(
(
3
^
i
+
4
^
j
)
.
(
^
i
+
^
j
)
)
^
i
+
^
j
|
^
i
+
^
j
|
2
=
(
3
^
i
+
4
^
j
)
−
7
(
^
i
+
^
j
)
√
2
2
=
(
3
^
i
+
4
^
j
)
−
7
(
^
i
+
^
j
)
2
=
(
−
^
i
+
^
j
)
2
Suggest Corrections
49
Similar questions
Q.
If
→
a
=
^
i
−
^
j
and
→
b
=
3
^
i
+
4
^
j
, the vector having the same magnitude as
→
b
and parallel to
→
a
is
Q.
Component of
3
^
i
+
4
^
j
perpendicular to
^
i
+
^
j
and in the same plane as that of
3
^
i
+
4
^
j
is
Q.
The unit vector perpendicular to both
^
i
+
^
j
and
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^
k
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Q.
What is the component of
(
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^
i
+
4
^
j
)
along
(
^
i
+
^
j
)
?
Q.
Find the components of vector
→
a
=
3
^
i
+
4
^
j
along the direction of vectors
^
i
+
^
j
&
^
i
−
^
j
.
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