The area of a triangle formed by the tips of vectors...

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The area of a triangle formed by the tips of vectors \[\overline {\rm{a}} {\rm{,}}\,\overline {\rm{b}} \] and \[\overline {\rm{c}} \] is

A. \[\frac{1}{2}\left( {\overline {\rm{a}} - \overline {\rm{b}} } \right) \cdot \left( {\overline {\rm{a}} - \overline {\rm{c}} } \right)\]

B. \[\frac{1}{2}\left| {\left( {\overline {\rm{a}} - \overline {\rm{b}} } \right) \times \left( {\overline {\rm{a}} - \overline {\rm{c}} } \right)} \right|\]

C. \[\frac{1}{2}\left| {\overline {\rm{a}} \times \overline {\rm{b}} \times \overline {\rm{c}} } \right|\]

D. \[\frac{1}{2}\left( {\overline {\rm{a}} \times \overline {\rm{b}} } \right) \cdot \overline {\rm{c}} \]

Answer: Option B

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