Exercise 13.  Show that the equation of the line through the points  [Graphics:Images/ComplexGeometryModHome_gr_195.gif] and [Graphics:Images/ComplexGeometryModHome_gr_196.gif]  can be expressed in the form  [Graphics:Images/ComplexGeometryModHome_gr_197.gif], where t is a real number.

Solution 13.

See text and/or instructor's solution manual.

This is simply an equivalent form of the vector equation between the points  [Graphics:../Images/ComplexGeometryModHome_gr_198.gif] and [Graphics:../Images/ComplexGeometryModHome_gr_199.gif].  That is  

        [Graphics:../Images/ComplexGeometryModHome_gr_200.gif]  



































 

This solution is complements of the authors.





















































 

(c) 2008 John H. Mathews, Russell W. Howell