CSCE 4230  Homework #4


     Due date:  Thursday, 03/05/2008


     1.  Define the following terms in the context of 3-vectors
         with Cartesian coordinates and 3 by 3 matrices:

         a)  Scalar multiplication

         b)  Matrix multiplication

         c)  Matrix transpose

         d)  Scalar product (dot product, inner product)

         e)  Vector cross product

         f)  Vector length (Euclidean norm)

         g)  Orthogonal vectors

         h)  Matrix inverse

         i)  Orthogonal matrix


     2.  Draw a picture representing two lines (one with positive slope
         and one with negative slope) which reflect the worst case in
         the Cohen-Sutherland line clipping algorithm for the checking
         order LTRB (Left, Top, Right, Bottom).

         How many intersection points must be computed? ______

         Display an expression for the point of intersection of the
         line defined by points p0 = (x0,y0) and p1 = (x1,y1) with
         the bottom boundary y = Ymin.