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 solve the problem step by step, we will analyze the given information and use vector properties to find the angle between the vectors \(\vec{C}\) and \(\vec{X}\).

### Step 1: Write down the given information
We are given:
- \(\vec{A} + \vec{B} + \vec{C} = \vec{X}\)
- \(\vec{A} \cdot \vec{X} = 1\)
- \(\vec{B} \cdot \vec{X} = \frac{3}{2}\)
- \(|\vec{X}| = 2\)
...