The position vectors of four points P, Q, R, S are \[2\mathbf{a}+4\mathbf{c},\,\] \[5\mathbf{a}+3\sqrt{3}\,\mathbf{b}+4\mathbf{c},\] \[-2\sqrt{3}\mathbf{b}+\mathbf{c}\] and \[2\mathbf{a}+\mathbf{c}\] respectively, then [MP PET 1997]

• A. \[\overrightarrow{PQ}\] is parallel to \[\overrightarrow{RS}\]
• B. \[\overrightarrow{PQ}\] is not parallel to \[\overrightarrow{RS}\]
• C. \[\overrightarrow{PQ}\] is equal to \[\overrightarrow{RS}\]
• D. \[\overrightarrow{PQ}\] is parallel and equal to \[\overrightarrow{RS}\]