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Byju's Answer
Standard XII
Physics
Vector Addition
If A⃗ =i⃗-2...
Question
If
→
A
=
→
i
−
→
2
j
−
→
3
k
and
→
B
=
→
2
i
+
→
3
j
−
→
4
k
then magnitude of
→
A
+
→
B
is
A
√
49
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B
√
39
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C
√
59
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D
None of these
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Solution
The correct option is
C
√
59
Given,
→
A
=
^
i
−
2
^
j
−
3
^
k
→
B
=
2
^
i
+
3
^
j
−
4
^
k
→
A
+
→
B
=
(
^
i
−
2
^
j
−
3
^
k
)
+
(
2
^
i
+
3
^
j
−
4
^
k
)
→
A
+
→
B
=
3
^
i
+
^
j
−
7
^
k
Magnitude,
M
=
√
(
3
)
2
+
(
1
)
2
+
(
−
7
)
2
M
=
√
59
The correct option is C.
Suggest Corrections
0
Similar questions
Q.
If
→
a
=
→
i
+
→
j
,
→
b
=
2
→
j
−
→
k
and
→
r
×
→
a
=
→
b
×
→
a
,
→
r
×
→
b
=
→
a
×
→
b
, then
→
r
|
→
r
|
is equal to
Q.
If
→
b
=
3
^
i
+
4
^
j
and
→
a
=
→
i
−
→
j
, then vector having the same magnitude as that of
→
b
and parallel to
→
a
is
Q.
If
→
a
,
→
b
,
→
c
,
→
a
+
→
b
,
→
b
+
→
c
and
→
a
+
→
b
+
→
c
are vectors of same magnitude, none of which is null vector, then which of the following is false
Q.
If
→
a
=
→
i
−
2
→
j
−
3
→
k
,
→
b
=
2
→
i
+
→
j
−
→
k
,
→
c
=
→
i
+
3
→
j
−
2
→
k
then
(
→
a
×
→
b
)
×
→
c
is
Q.
If
→
a
.
→
b
=
1
and
→
a
×
→
b
=
→
j
−
→
k
, where
→
a
=
→
i
+
→
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+
→
k
, then
→
b
is
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