The condition for \[\overrightarrow{A}+\overrightarrow{B}\] to be perpendicular to \[\overrightarrow{A}-\overrightarrow{B}\] is that

• A. \[|\overrightarrow{A}|\,\,=\,\,|\overrightarrow{B}|\]        
• B.        \[\overrightarrow{\text{A}}\,\,\text{=}\,\,\overrightarrow{\text{B}}\]
• C. \[\overrightarrow{\text{B}}\text{ =}\,\,\text{0 }\!\!~\!\!\text{ }\]   
• D.        \[\text{ }\!\!|\!\!\text{ }\,\overrightarrow{\text{A}}\,\text{+}\,\overrightarrow{\text{B}}\,\text{ }\!\!|\!\!\text{ }\,\,\text{= }\!\!|\!\!\text{ }\,\overrightarrow{\text{A}}-\overrightarrow{\text{B}}\,\,\text{ }\!\!|\!\!\text{ }\]