question_answer

Given that \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\]and that \[\overrightarrow{C}\] is \[\bot \] to \[\overrightarrow{A}\]. Further if \[|\overrightarrow{A}|\,=\,|\overrightarrow{C}|,\]then what is the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\]

A)                 \[\frac{\pi }{4}radian\]

B)                             \[\frac{\pi }{2}radian\]

C)                 \[\frac{3\pi }{4}radian\]

D)                 \[\pi \,\,radian\]