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Byju's Answer
Standard XII
Physics
Vector Component
Which of the ...
Question
Which of the following does not depends on the choice of the co-ordinate system
A
¯
P
+
¯
Q
+
¯
R
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B
(
P
x
+
Q
x
+
R
x
)
^
i
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C
P
x
^
i
+
Q
y
^
j
+
R
z
^
k
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D
P
+
Q
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Solution
The correct option is
A
¯
P
+
¯
Q
+
¯
R
option A
as a vector, its magnitude, and the angle between two vectors do not depend on the choice of the orientation of the coordinates axes.
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Similar questions
Q.
If
¯
p
,
¯
q
,
¯
r
are position vectors of the points P, Q, R respectively. Where
¯
p
=
¯
a
+
2
¯
b
+
5
¯
c
,
¯
q
=
3
¯
a
+
2
¯
b
+
¯
c
,
¯
r
=
2
¯
a
+
2
¯
b
+
3
¯
c
, then show that the points P, Q, R are collinear.
Q.
Consider three vectors
¯
p
=
^
i
+
^
j
+
^
k
,
q
=
2
^
i
+
4
^
j
−
^
k
and
¯
r
=
^
i
+
^
j
+
3
^
k
and let
¯
s
be a unit vector then
¯
p
,
¯
q
and
¯
r
are
Q.
If
¯
p
,
¯
q
and
¯
r
are non zero, non coplanar vectors then
[
¯
p
+
¯
q
−
¯
r
¯
p
−
¯
q
¯
q
−
¯
r
]
=
_________.
Q.
Three forces
¯
P
,
¯
Q
,
¯
R
acting along
I
A
,
I
B
,
I
C
where
I
is the incentre of a triangle, are in equilibrium then
¯
P
:
¯
Q
:
¯
R
Q.
If
[
¯
a
¯
b
¯
c
]
≠
0
and
¯
p
=
¯
b
×
¯
c
[
¯
a
¯
b
¯
c
]
,
¯
q
=
¯
c
×
¯
a
[
¯
a
¯
b
¯
c
]
,
¯
r
=
¯
a
×
¯
b
[
¯
a
¯
b
¯
c
]
then
¯
a
.
¯
p
+
¯
b
.
¯
q
+
¯
c
.
¯
r
is equal to _____
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