Let `veca , vecb and vecc` be unit vectors such that `veca+vecb+vecc=vecx, veca.vecx =1, vecb.vecx = 3/2 ,|vecx|=2` then find theh angle between `vecc and vecx`.

Explanation

To find the angle between the vector \( \vec{c} \) and \( \vec{x} \), we can follow these steps:

### Step 1: Write down the given information
We have three unit vectors \( \vec{a}, \vec{b}, \) and \( \vec{c} \) such that:
- \( \vec{a} + \vec{b} + \vec{c} = \vec{x} \)
- \( \vec{a} \cdot \vec{x} = 1 \)
- \( \vec{b} \cdot \vec{x} = \frac{3}{2} \)
- \( |\vec{x}| = 2 \)
...