A) \[\mathbf{a}+\mathbf{b}\]
B) \[\mathbf{a}-\mathbf{b}\]
C) \[{{a}^{2}}-{{b}^{2}}\]
D) \[{{(\mathbf{a}-\mathbf{b})}^{2}}\]
Correct Answer: D
Solution :
It is obvious, since \[\mathbf{a}\,.\,\mathbf{b}=0.\] Hence \[{{(\mathbf{a}+\mathbf{b})}^{2}}={{a}^{2}}+{{b}^{2}}={{(\mathbf{a}-\mathbf{b})}^{2}}.\]
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