Let `veca, vecb and vecc` be non - coplanar unit vectors, equally inclined to one another at an angle `theta`. If `veca xx vecb + vecb xx vecc = p veca + q vecb + rvecc`, find scalars p, q and r in terms of `theta`.

Explanation

To solve the problem, we need to find the scalars \( p, q, \) and \( r \) in terms of the angle \( \theta \) given that the vectors \( \vec{a}, \vec{b}, \) and \( \vec{c} \) are non-coplanar unit vectors that are equally inclined to one another at an angle \( \theta \).

### Step-by-Step Solution:

1. **Understanding the Given Information:**
- We have three non-coplanar unit vectors \( \vec{a}, \vec{b}, \vec{c} \).
- They are equally inclined to each other at an angle \( \theta \).
- The equation we need to analyze is:
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