Show that points`A (a , b + c)`, `B (b , c + a)`, `C (c , a + b)`are collinear.

Explanation

To show that the points \( A(a, b+c) \), \( B(b, c+a) \), and \( C(c, a+b) \) are collinear, we can use the concept of the area of the triangle formed by these three points. If the area of the triangle is zero, then the points are collinear.

### Step 1: Set up the determinant

The area \( A \) of the triangle formed by points \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \) can be expressed using the determinant:

\[
A = \frac{1}{2} \begin{vmatrix}
...