A) \[\vec{a}.\vec{b}=0\]
B) \[\vec{a}\times \vec{b}=0\]
C) \[\vec{a}.\vec{b}=1\]
D) \[\vec{a}\times \vec{b}=\vec{b}\]
Correct Answer: A
Solution :
[a] \[\because \] \[\vec{a}\] and \[\vec{b}\] represent the diagonal of the rhombus, they are perpendicular to each other. \[\therefore \vec{a}.b=ab.\cos \theta \] \[\left( \therefore \theta ={{90}^{{}^\circ }} \right)\] \[=ab.cos{{90}^{{}^\circ }}\] \[\vec{a}.\vec{b}=0\] Hence, option [a] is correct.You need to login to perform this action.
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