If a, b, c are coplanar vectors, then [IIT 1989]

• A.             \[\left| \,\begin{matrix}    \mathbf{a} & \mathbf{b} & \mathbf{c}  \\    \mathbf{b} & \mathbf{c} & \mathbf{a}  \\    \mathbf{c} & \mathbf{a} & \mathbf{b}  \\ \end{matrix}\, \right|=\mathbf{0}\]
• B.             \[\left| \,\begin{matrix}    \mathbf{a} & \mathbf{b} & \mathbf{c}  \\    \mathbf{a}\,.\,\mathbf{a} & \mathbf{a}\,.\,\mathbf{b} & \mathbf{a}\,.\,\mathbf{c}  \\    \mathbf{b}\,.\,\mathbf{a} & \mathbf{b}\,.\,\mathbf{b} & \mathbf{b}\,.\,\mathbf{c}  \\ \end{matrix}\, \right|=\mathbf{0}\]
• C.             \[\left| \,\begin{matrix}    \mathbf{a} & \mathbf{b} & \mathbf{c}  \\    \mathbf{c}\,.\,\mathbf{a} & \mathbf{c}\,.\,\mathbf{b} & \mathbf{c}\,.\,\mathbf{c}  \\    \mathbf{b}\,.\,\mathbf{a} & \mathbf{b}\,.\,\mathbf{c} & \mathbf{b}\,.\,\mathbf{b}  \\ \end{matrix}\, \right|=\mathbf{0}\]
• D.             \[\left| \,\begin{matrix}    \mathbf{a} & \mathbf{b} & \mathbf{c}  \\    \mathbf{a}\,.\,\mathbf{b} & \mathbf{a}\,.\,\mathbf{a} & \mathbf{a}\,.\,\mathbf{c}  \\    \mathbf{c}\,.\,\mathbf{a} & \mathbf{c}\,.\,\mathbf{c} & \mathbf{c}\,.\,\mathbf{b}  \\ \end{matrix}\, \right|=\mathbf{0}\]