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  4. A vector 3i + 4j rotates about its tail through an angle 37° in anti clockwise direction then the new vector is

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Q. A vector $3i + 4j$ rotates about its tail through an angle $37^\circ$ in anti clockwise direction then the new vector is

Motion in a Plane

Solution:

$A = \sqrt{A^2_x + A^2_y} $ and $\theta = \tan^{-1} \left( \frac{A_y}{A_x} \right)$