Find the equation of the line joining `A(1,3)a n dB(0,0)` using determinants and find `k` if `D(k ,0)` is appoint such that area of ` A B D` is 3sq. units.

Explanation

To find the equation of the line joining points A(1, 3) and B(0, 0) using determinants, and to find the value of k such that the area of triangle ABD is 3 square units, we can follow these steps:

### Step 1: Find the equation of the line AB

The general formula for the area of a triangle formed by three points \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \) is given by the determinant:

\[
\text{Area} = \frac{1}{2} \left| \begin{vmatrix}
...