Answer:
As \[\vec{A}.\,\,\vec{B}\,\,=0\] ; \[\therefore
\,\]\[\text{AB cos}\theta =\text{ }0\] or \[\text{cos}\theta
=0\] or \[\theta =\text{9}0{}^\circ \]
Similarly, \[\vec{B}\,.\,\vec{C}=0\]\[\therefore \,\]\[\text{BC
cos}{{\theta }_{\text{1}}}=\text{ }0\]or \[\text{cos}{{\theta
}_{\text{1}}}=\text{ }0\]or \[{{\theta }_{1}}=\text{9}0{}^\circ \]
i.e. \[\vec{A}\] and \[\vec{C}\] are parallel to each other.
\[\therefore \,\]\[\vec{A}.\vec{C}=\text{AC cos}0{}^\circ
=\text{AC}\].
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