Let a , b and c be non-coplanar unit vectors equally inclined to one another at an acute angle θ then [ a b c ] in terms of θ is equal to :

Explanation

To solve the problem, we need to find the scalar triple product \([a \, b \, c]\) in terms of the acute angle \(\theta\) between the non-coplanar unit vectors \(a\), \(b\), and \(c\) that are equally inclined to each other.

### Step-by-Step Solution:

1. **Understanding the Vectors**:
Since \(a\), \(b\), and \(c\) are unit vectors, we have:
\[
|a| = |b| = |c| = 1
...