Answer:
\[\vec{A}.\vec{B}=0\] \[\Rightarrow \] \[\vec{A}\bot \vec{B}\] \[\vec{B}.\vec{C}=0\] \[\Rightarrow \] \[\vec{B}\bot \vec{C}\] \[\therefore \] \[\vec{A}||\vec{C}\] and\[\vec{A}.\vec{C}=AC\,\cos 0{}^\circ =AC.\]
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