A) \[|\overrightarrow{A}|\,\,=\,\,|\overrightarrow{B}|\]
B) \[\overrightarrow{\text{A}}\,\,\text{=}\,\,\overrightarrow{\text{B}}\]
C) \[\overrightarrow{\text{B}}\text{ =}\,\,\text{0 }\!\!~\!\!\text{ }\]
D) \[\text{ }\!\!|\!\!\text{ }\,\overrightarrow{\text{A}}\,\text{+}\,\overrightarrow{\text{B}}\,\text{ }\!\!|\!\!\text{ }\,\,\text{= }\!\!|\!\!\text{ }\,\overrightarrow{\text{A}}-\overrightarrow{\text{B}}\,\,\text{ }\!\!|\!\!\text{ }\]
Correct Answer: A
Solution :
[a] \[\text{(\vec{A}+\vec{B})}\text{.(\vec{A}}-\text{\vec{B})}=0\] or \[\text{\vec{A}}\,\text{.}\,\text{\vec{A}+\vec{B}}\,\text{.}\,\text{\vec{A}}-\text{\vec{A}}\,\text{.}\,\text{\vec{B}}-\text{\vec{B}}\,\text{.}\,\text{\vec{B}}=0\] \[\therefore \,\,\,\text{A=B}\text{.}\]You need to login to perform this action.
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