A) \[\overrightarrow{a}.\overrightarrow{a}=\overrightarrow{b}.\overrightarrow{b}\]
B) \[\overrightarrow{a}.\overrightarrow{b}=0\]
C) \[\overrightarrow{a}\times \overrightarrow{b}=0\]
D) \[\overrightarrow{a}.\overrightarrow{a}=0\]
Correct Answer: A
Solution :
Length of all the sides of a rhombus are equal. ie, \[|\overrightarrow{a}|=|\overrightarrow{b}|\] \[\Rightarrow \] \[|\overrightarrow{a}{{|}^{2}}=|\overrightarrow{b}{{|}^{2}}\] \[\Rightarrow \] \[\overrightarrow{a}.\overrightarrow{a}=\overrightarrow{b}.\overrightarrow{b}\]
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