Find `[ vec a\ vec b\ vec c]` , when : ` vec a=2 hat i-3 hat j ,\ vec b= hat i+ hat j- hat k\ a n d\ vec c=3 hat i- hat k`.

Explanation

To find the scalar triple product \([ \vec{a} \ \vec{b} \ \vec{c} ]\), we will use the formula for the scalar triple product, which can be represented as the determinant of a 3x3 matrix formed by the vectors \(\vec{a}\), \(\vec{b}\), and \(\vec{c}\).

Given:
\[ \vec{a} = 2 \hat{i} - 3 \hat{j} + 0 \hat{k} \]
\[
\vec{b} = 1 \hat{i} + 1 \hat{j} - 1 \hat{k}
...