A vector $\overrightarrow{A}$ is rotated by a small angle $\Delta \theta$ radian $\Delta \theta <1) $ to get a new vector $\overrightarrow{B}$. In that case $|\overrightarrow{B} -\overrightarrow{A}| $ is :

Question

$\begin{array}{1 1} 0 \\ |\overrightarrow{A} | \bigg( 1- \frac{\Delta \theta^2}{2} \bigg) \\ | \overrightarrow{A}| \Delta \theta \\| \overrightarrow{B}| \Delta \theta - | \overrightarrow{A}| \end{array} $