Home Maths Vector Algebra Mix A vector a has components and with respect…
Maths Vector Algebra Mix Numeric Response
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

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The 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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