| Exam Board | Edexcel |
|---|
| Module | FP3 (Further Pure Mathematics 3) |
|---|
| Topic | Vectors: Cross Product & Distances |
|---|
17. Referred to a fixed origin \(O\), the position vectors of three non-collinear points \(A , B\) and \(C\) are \(\mathbf { a } , \mathbf { b }\) and \(\mathbf { c }\) respectively. By considering \(\overrightarrow { A B } \times \overrightarrow { A C }\), prove that the area of \(\triangle A B C\) can be expressed in the form \(\frac { 1 } { 2 } | \mathbf { a } \times \mathbf { b } + \mathbf { b } \times \mathbf { c } + \mathbf { c } \times \mathbf { a } |\).
[0pt]
[P6 June 2003 Qn 1]