Two vertices of a triangle are `(3,-1)` and `(-2,3)` and its orthocenter is at the origin,. Find the coordinates of its third vertex.

Explanation

To find the coordinates of the third vertex of the triangle given two vertices \((3, -1)\) and \((-2, 3)\) with the orthocenter at the origin \((0, 0)\), we can follow these steps:

### Step 1: Identify the vertices and the orthocenter
Let the vertices of the triangle be:
- Vertex A: \((3, -1)\)
- Vertex B: \((-2, 3)\)
- Vertex C: \((h, k)\) (the unknown vertex)
- Orthocenter O: \((0, 0)\)
...