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Byju's Answer
Standard V
Science
The Earth and the Sun
ntx and y com...
Question
ntx and y component of a vector are 100N and 100N . Find the 2components if vector is rotated by:n nt1)15degree clockwisen nt2)15degree anticlockwisen
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Q.
A vector has component
2
p
and
1
with respect to a rectangular cartesian system. The axes are rotated through an angle
α
about the origin in the anticlockwise sense. If the vector has components
p
+
1
and
1
with respect to the new system then
Q.
The axes of co-ordinates are rotated about z-axis through an angle of
π
/
4
in anti-clockwise direction and the components of a vector are
2
√
2
,
3
√
2
,
4.
Then the components of the same vector in the original system are -1, 5, 4.
Q.
Assertion :
A vector has components
p
and
1
with respect to a rectangular Cartesian system. The axes are rotated through an angle
α
about the origin in the anticlockwise sense.
If the vector has components
p
+
2
and
1
with respect to the new system, then
p
=
−
1
Reason: Magnitude of the original vector and the new vector remains the same.
Q.
The components of a vector along the
x
- and
y
-directions are
(
n
+
1
)
and
1
, respectively. If the coordinate system is rotated by an angle
θ
=
60
o
, then the components change to
n
and
3
. The value of
n
is
Q.
A vector
a
has components
2
p
and
1
w.r.t a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter-clockwise sense. If w.r.t the new system,
a
has components
p
+
1
and
1
, then
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