Find the vector area of a triangle whose vertices are `a,b,` and `c`

Options

A. `1/2(bxxc+cxxa+axxb)`
B. `1/3(bxxc+cxxa+axxb)`
C. `1/3(bxxc+axxc+bxxa)`
D. None of these

Explanation

To find the vector area of a triangle with vertices represented by position vectors \( \mathbf{a}, \mathbf{b}, \) and \( \mathbf{c} \), we can follow these steps:

### Step 1: Identify the vectors
The vertices of the triangle are given by the position vectors:
- Vertex A: \( \mathbf{a} \)
- Vertex B: \( \mathbf{b} \)
- Vertex C: \( \mathbf{c} \)

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