The position vector of A,B,C are `(hati+2hatj+3hatk),(-2hati+3hatj+5hatk)` and (`7hati-hatk`) respectively. Prove that A,B and C are collinear.

Explanation

To prove that points A, B, and C are collinear, we will find the position vectors of points A, B, and C, then calculate the vectors AB and BC, and finally check if these vectors are scalar multiples of each other.

### Step-by-Step Solution:

1. **Identify the Position Vectors:**
- The position vector of point A is given as:
\[
\vec{A} = \hat{i} + 2\hat{j} + 3\hat{k}
...