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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
A⃗ and B⃗ a...
Question
→
A
and
→
B
are two vectors given
→
A
=
2
^
i
+
3
^
j
and
→
B
=
^
i
+
^
j
. The magnitude of the component
→
A
along
→
B
is
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Solution
→
A
.
→
B
=
(
2
^
i
+
3
^
j
)
.
(
^
i
+
^
j
)
=
2
+
3
=
5
|
→
B
|
=
√
1
2
+
1
2
=
√
2
Magnitude of component of
→
A
along
→
B
=
→
A
.
→
B
|
→
B
|
So,
→
A
.
→
B
|
→
B
|
=
5
√
2
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Similar questions
Q.
Let
→
a
=
2
^
i
−
^
j
+
^
k
,
→
b
=
^
i
+
2
^
j
−
^
k
,
→
c
=
^
i
+
^
j
−
2
^
k
be three vectors. A vector in the plane of
→
b
and
→
c
whose projection on
→
a
is of magnitude
√
2
3
is
Q.
→
A
and
→
B
are two vectors given by
→
A
=
2
^
i
+
3
^
j
and
→
B
=
^
i
+
^
j
. The magnitude of the component of
→
A
along
→
B
is
Q.
Let
→
a
=
^
i
+
^
j
+
3
^
k
&
→
b
=
2
^
i
−
3
^
j
+
4
^
k
. If projection of
→
a
on
→
b
is
k
√
29
, then the value of
(
k
−
2
)
is
Q.
→
A
and
→
B
are two vectors given
→
A
=
2
^
i
+
3
^
j
and
→
B
=
^
i
+
^
j
. The magnitude of the component
→
A
along
→
B
is :
Q.
If
→
a
and
→
b
are vectors such that
|
→
a
+
→
b
|
=
√
29
and
→
a
×
(
2
^
i
+
3
^
j
+
4
^
k
)
=
(
2
^
i
+
3
^
j
+
4
^
k
)
×
→
b
, then a possible value of
(
→
a
+
→
b
)
⋅
(
−
7
^
i
+
2
^
j
+
3
^
k
)
is
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