3.1.27 Curves of the 2nd order
\( \underline{\text { condition: }} \) In a triangle with vertices \( A(0,-1) \), \( B(1,1), C(2,2) \) find: a) the numerical projection of \( \overrightarrow{A B} \) onto \( \overrightarrow{A C} \), b) the length of the median \( A M \), c) the coordinates of the intersection point of the medians, d) the height equation \( B H \).
Study of curves of the second order and their characteristics. Ellipse, hyperbola, parabola. Finding eccentricities, foci, focal radii, major and minor axes, including imaginary, canonical equations and plotting.