Published by:
CGP EDU Academic Team
Published on: August 11, 2026
A vector a has components
and
with respect to a rectangular Cartesian system. The system isrotated through a certain angle about the origin in the anti-clockwise sense. If a has components
and
with respect to the new system, then maximum value of
is
Text Solution
Verified by ExpertsThe correct answer is:
1
1
If
are the original components;
the new components and
is the angle of rotation, then
and 
and 
Squaring and adding, we get 
or 
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