If four distinct points with position vectors $\vec{a}, \vec{b}, \vec{c}$ and $\vec{d}$ are coplanar,then $[\vec{a} \vec{b} \vec{c}]$ is equal to

• A
  $[\vec{d} \vec{c} \vec{a}]+[\vec{b} \vec{d} \vec{a}]+[\vec{c} \vec{d} \vec{b}]$
• B
  $[\vec{d} \vec{b} \vec{d}]+[\vec{a} \vec{c} \vec{d}]+[\vec{d} \vec{b} \vec{c}]$
• C
  $[\vec{a} \vec{d} \vec{b}]+[\vec{d} \vec{c} \vec{a}]+[\vec{d} \vec{b} \vec{c}]$
• D
  $[\vec{b} \vec{c} \vec{d}]+[\vec{d} \vec{a} \vec{c}]+[\vec{d} \vec{b} \vec{a}]$