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Byju's Answer
Standard XII
Physics
Vector Component
The magnitude...
Question
The magnitude of the resultant of the three forces
F
1
=
3
^
i
,
F
2
=
4
^
j
,
F
3
=
0
^
k
is-
A
5
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B
10
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C
15
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D
none of these
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Solution
The correct option is
A
5
Resultant
=
√
3
2
+
4
2
+
0
2
=
√
25
=
5
Suggest Corrections
0
Similar questions
Q.
Three constant forces are applied on a body that are given as
−
→
F
1
=
3
^
i
N
,
−
→
F
2
=
4
^
j
N
,
−
→
F
3
=
6
^
k
N
.
If these forces displace the body by
5
m
in negative
y
-axis direction from the origin, then total work done by the forces is
Q.
If the resultant of three forces
−
→
F
1
=
p
^
i
+
3
^
j
−
^
k
,
−
→
F
2
=
−
5
^
i
+
^
j
+
2
^
k
and
−
→
F
3
=
6
^
i
−
^
k
acting on a particle have magnitude equal to 5 units, then the value(s) of
p
is (are)
Q.
Three forces
−
→
F
1
=
(
3
^
i
+
2
^
j
−
^
k
)
N
,
−
→
F
2
=
(
3
^
i
+
4
^
j
−
5
^
k
)
N
and
−
→
F
3
=
A
(
^
i
+
^
j
−
^
k
)
N
act simultaneously on a particle. In order that the particle remains in equilibrium, the value of A should be
Q.
Three forces
−
→
F
1
=
(
3
^
i
+
2
^
j
−
^
k
)
N
,
−
→
F
2
=
(
3
^
i
+
4
^
j
−
5
^
k
)
N
and
−
→
F
3
=
A
(
^
i
+
^
j
−
^
k
)
N
act simultaneously on a particle. In order that the particle remains in equilibrium, the value of A should be
Q.
A body is moving under the action of two forces
¯
¯¯
¯
F
1
=
2
^
i
−
5
^
j
;
¯
¯¯
¯
F
2
=
3
^
i
−
4
^
j
. Its velocity will become uniform under a third force
¯
¯¯
¯
F
3
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