A certain vector in the 
plane has a 
-component of 
and a 
-component of 
. It is then rotated in the 
plane so that its 
-component is halved. Then its new 
-component is approximately
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
: Let 
be a vector in 
plane. Its 
and 
components are 
respectively.
The magnitude of vector 
is
When this vector is rotated in 
plane such that its 
component becomes halved and its new 
component be 
. Then
Squaring both sides, we get
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