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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
Assertion: τ ...
Question
Assertion:
→
τ
=
→
r
×
→
F
b
u
t
→
τ
≠
→
F
×
→
r
.
Reason:
Cross product of a vector is commutative.
A
If both assertion and reason are true and the reason is the correct explanation of the assertion.
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B
If both assertion and reason are true but reason is not the correct explanation of the assertion.
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C
If assertion is true but reason is false.
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D
If assertion and reason both are false.
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E
If assertion is false but reason is true.
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Solution
The correct option is
C
If assertion is true but reason is false.
→
A
×
→
B
=
−
→
B
×
→
A
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0
Similar questions
Q.
Statement 1:
→
τ
=
→
r
×
→
F
and
→
τ
≠
−
→
r
×
→
F
Statement 2: Cross product of vector is commutative
Q.
Given
→
F
=
(
4
^
i
−
10
^
j
)
and
→
r
=
(
5
^
i
−
3
^
j
)
. Then torque
→
τ
is
Q.
Given
→
F
=
(
4
ˆ
i
+
10
ˆ
j
)
and
→
r
=
(
5
ˆ
i
−
3
ˆ
j
)
.
Then torque
τ
is :
Q.
If
→
F
is the force acting on a particle having position vector
→
r
and
→
τ
be the torque of this force about the origin, then
Q.
If
→
F
force is acting on a particle having the position vector
→
r
,
and
→
τ
be the torque of this force about the origin, then
→
τ
.
→
F
=
0
and
→
r
.
→
τ
=
0
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