If ` vec a , vec b, vec c` are three non- null vectors such that any two of them are non-collinear. If ` vec a+ vec b` is collinear with ` vec ca n d vec b+ vec c` is collinear with ` vec a ,` then find ` vec a+ vec b+ vecc`

Explanation

To solve the problem, we need to analyze the relationships between the vectors given the conditions of collinearity. Let's break down the solution step by step.

### Step-by-Step Solution:

1. **Understanding Collinearity**:
We know that \( \vec{a} + \vec{b} \) is collinear with \( \vec{c} \). This means there exists a scalar \( \lambda \) such that:
\[
\vec{a} + \vec{b} = \lambda \vec{c}
...