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Byju's Answer
Standard XII
Chemistry
Boyle's Law
Find the mome...
Question
Find the moment
→
N
of the force
→
F
relative to the point
O
.
A
→
N
=
(
a
B
+
b
A
)
→
k
, where
→
k
is the unit vector of the z axis.
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B
→
N
=
(
b
B
+
a
A
)
→
k
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C
→
N
=
(
a
B
−
b
A
)
→
k
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D
→
N
=
(
b
B
−
a
A
)
→
k
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Solution
The correct option is
A
→
N
=
(
a
B
−
b
A
)
→
k
Moment
→
N
is calculated
→
r
×
→
F
∣
∣
∣
a
b
A
B
∣
∣
∣
solving this determinant we get-
→
N
=
(
a
B
−
b
A
)
→
k
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Similar questions
Q.
The angular momentum of a particle relative to a certain point
O
varies with time as
→
M
=
a
+
→
b
t
2
, where
→
a
and
→
b
are constant vectors, with
→
a
⊥
→
b
. If the force moment
→
N
relative to the point
O
acting on the particle when the angle between the vectors
→
N
and
→
M
equals
45
∘
is given as
→
N
=
x
√
a
b
→
b
. Find
x
.
Q.
A vector
→
n
is inclined to
x
−
axis is at
45
o
to
y
−
axis at
60
o
an acute angel to
z
−
axis. If
→
n
is a normal to a plane passing through the points
(
√
2
,
−
1
,
1
)
, then the equation of the plane is
Q.
A vector
→
n
is inclined to
x
−
axis at
45
o
, to y-axis at
60
o
and at an acute angle to
z
−
axis. If
→
n
is a normal to a plane through the point
(
√
2
,
−
1
,
1
)
, then the equation of the plane is:
Q.
If
→
n
is a unit vector in the direction of the vector
→
A
, then:
Q.
If
→
n
is a vector of magnitude
√
3
and is equally inclined with an acute angle with the coordinate axes. Find the vector and cartesian forms of equation of a plane which passes through
(
2
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1
,
−
1
)
and is normal to
→
n
.
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