A vector $\vec A $ is rotated by a small angle $\Delta \theta$ radian $( \Delta \theta << 1)$ to get a new vector $\vec B$ In that case $\left| {\vec B - \vec A} \right|$ is
A vector $\vec A $ is rotated by a small angle $\Delta \theta$ radian $( \Delta \theta << 1)$ to get a new vector $\vec B$ In that case $\left| {\vec B - \vec A} \right|$ is
- [JEE MAIN 2015]
- A
$\left| {\vec A} \right|\,\Delta \theta $
- B
$\left| {\vec B} \right|\,\Delta \theta - \left| {\vec A} \right|\,$
- C
$\left| {\vec A} \right|\,\left( {1 - \frac{{\Delta {\theta ^2}}}{2}} \right)$
- D
$0$
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- [KVPY 2009]