Find the volume of the parallelepiped whose coterminous edges are represented by the vector: ` vec a=2 hat i-3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j-2 hat k` .

Explanation

To find the volume of the parallelepiped formed by the vectors \(\vec{a}\), \(\vec{b}\), and \(\vec{c}\), we can use the scalar triple product. The volume \(V\) is given by the absolute value of the scalar triple product:

\[ V = |\vec{a} \cdot (\vec{b} \times \vec{c})| \]

### Step 1: Write down the vectors
The vectors are given as:
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