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Byju's Answer
Standard XIII
Physics
Scalar and Vector Notation
A force F = 3...
Question
A force
→
F
=
3
^
i
+
2
^
j
−
4
^
k
acts at the point
(
1
,
−
1
,
2
)
. Find its torque about the point
(
2
,
−
1
,
3
)
.
A
6
^
i
−
7
^
j
+
^
k
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B
2
^
i
−
7
^
j
−
2
^
k
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C
2
^
i
+
7
^
j
−
2
^
k
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D
6
^
i
+
7
^
j
+
^
k
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Solution
The correct option is
B
2
^
i
−
7
^
j
−
2
^
k
Here,
→
F
=
3
^
i
+
2
^
j
−
4
^
k
is acting at a point
(
1
,
−
1
,
2
)
⇒
→
r
=
(
1
−
2
)
^
i
+
(
−
1
−
(
−
1
)
)
^
j
+
(
2
−
3
)
^
k
=
−
^
i
−
^
k
Hence torque about point
(
2
,
−
1
,
3
)
:
→
τ
=
→
r
×
→
F
→
τ
=
(
−
^
i
−
^
k
)
×
(
3
^
i
+
2
^
j
−
4
^
k
)
→
τ
=
∣
∣ ∣ ∣
∣
^
i
^
j
^
k
−
1
0
−
1
3
2
−
4
∣
∣ ∣ ∣
∣
→
τ
=
^
i
(
2
)
−
^
j
(
4
+
3
)
+
^
k
(
−
2
)
→
τ
=
2
^
i
−
7
^
j
−
2
^
k
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0
Similar questions
Q.
A force
→
F
=
3
^
i
+
2
^
j
−
4
^
k
acts at the point
(
1
,
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,
2
)
. Find its torque about the point
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,
−
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.
Q.
A force
→
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^
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^
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.
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i
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^
j
+
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k
newton acting at a point
→
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=
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i
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metre about is:-
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^
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