Find the value of a tetrahedrn whose vertices are A(-1,2,3),B(3,-2,1),C(2,1,3) and D(-1,-2,4).

Explanation

To find the volume of the tetrahedron with vertices A(-1, 2, 3), B(3, -2, 1), C(2, 1, 3), and D(-1, -2, 4), we can use the formula for the volume of a tetrahedron given by the vertices \( A, B, C, D \):

\[ V = \frac{1}{6} | \vec{AB} \cdot (\vec{AC} \times \vec{AD}) | \]

### Step 1: Find the position vectors
We first define the position vectors for points A, B, C, and D:
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