Exercise 2.  Locate  [Graphics:Images/ComplexGeometryModHome_gr_28.gif] and [Graphics:Images/ComplexGeometryModHome_gr_29.gif]  vectorially and use vectors to find  [Graphics:Images/ComplexGeometryModHome_gr_30.gif]  and  [Graphics:Images/ComplexGeometryModHome_gr_31.gif]  when:

2 (a).      [Graphics:Images/ComplexGeometryModHome_gr_32.gif]  and  [Graphics:Images/ComplexGeometryModHome_gr_33.gif].

Solution 2 (a).

See text and/or instructor's solution manual.

        [Graphics:../Images/ComplexGeometryModHome_gr_34.gif]

        [Graphics:../Images/ComplexGeometryModHome_gr_35.gif]

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/ComplexGeometryModHome_gr_36.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_37.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_38.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_39.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_40.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_41.gif]

[Graphics:../Images/ComplexGeometryModHome_gr_42.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_43.gif]
[Graphics:../Images/ComplexGeometryModHome_gr_44.gif]


















This solution is complements of the authors.



































 

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