Two vectors \[\vec{A}\,\text{ and }\vec{B}\] are such that \[\vec{A}+\vec{B}=\vec{A}-\vec{B}\]. Then [AMU (Med.) 2000]

• A.        \[\vec{A}\,.\,\vec{B}=0\]  
• B.        \[\vec{A}\times \vec{B}=0\]
• C.        \[\vec{A}=0\]   
• D.        \[\overrightarrow{B}=0\]