You may find this question challenging.
Given the three points A = [2, -3], B = [-4, 2] and C = [-6, 3], consider the triangle \(\triangle ABC\), and let M be
the point on AC so that BM is the altitude through B perpendicular to AC. Likewise let N be the point on AB so
that CN is the altitude through C perpendicular to AB.
i) Find M :
ii) Find N :