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Byju's Answer
Standard IX
Mathematics
Cartesian Plane
what is right...
Question
what is right hand cartesian system?
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Solution
The right hand cartesian system orientation is where the
xy
-plane is horizontal and the
z
-axis points up.
The
x
- and the
y
-axis form a positively oriented two-dimensional coordinate system in the
xy
-plane if observed from
above
the
xy
-plane.
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Similar questions
Q.
When a right handed rectangular cartesian system
o
x
y
z
is rotated about the
z
−
axis through an angle
π
4
in the counter-clockwise direction it is found that a vector
→
a
has the components
2
√
3
,
3
√
2
and
4
.The component of
→
a
in the
o
x
y
z
coordinate system are
Q.
A vector
→
a
has components
a
1
,
a
2
,
a
3
in a right handed rectangular cartesian coordinates system
O
X
Y
Z
. The coordinate system rotated about
y
-axis through an angle
π
2
The components of
→
a
in the new system are
Q.
A vector
A
has components
A
1
,
A
2
,
A
3
in a right handed rectangular cartesian coordinate system
O
X
,
O
Y
,
O
Z
.
The coordinate system is rotated about the
z
-axis through an angle
π
2
in the anti-clockwise direction. The components of
A
in the new coordinate system are
Q.
What is the Cartesian product of
A
=
{
1
,
2
}
and
B
=
{
a
,
b
}
?
Q.
Assertion :The right-handed coordinate system is converted into left-handed coordinate system by a plane mirror and Reason: Plane mirror produces the reversal in the direction of normal
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