PIRATES   

                X (cm)               Y (cm)
----------------------------------------------------

 1          -11.8 +/- 0.3         9.7 +/- 0.2

 2          -11.4 +/- 0.2        -8.6 +/- 0.4

 3            7.1 +/- 0.3         2.8 +/- 0.3
----------------------------------------------------






                      NINJA     

                X (cm)               Y (cm)
----------------------------------------------------

 1            6.0 +/- 0.2        12.0 +/- 0.3

 2          -10.1 +/- 0.4         2.9 +/- 0.2

 3            8.9 +/- 0.3        -8.1 +/- 0.3
----------------------------------------------------







  Table 1:  Dot-to-dot displacement vectors 

                       Pirate                          Ninja

                X (cm)       Y (cm)              X (cm)        Y (cm)
--------------------------------------------------------------------------

 r12           +/-              +/-                +/-            +/- 

 r23           +/-              +/-                +/-            +/- 

 r31           +/-              +/-                +/-            +/- 
--------------------------------------------------------------------------


Question 1: Compare the vector components (Table 1) you measured, 
against those of the other team. Are they the same or different, 
within uncertainties?








   Table 2:       Magnitude (cm) of the difference vectors

                        Pirates                     Ninjas 
-----------------------------------------------------------------

 r12                    +/-                          +/-

 r23                    +/-                          +/-

 r31                    +/-                          +/-
-----------------------------------------------------------------



Question 2: Compare the vector magnitudes (Table 2) you measured, 
     against those of the other team. 
     Are they the same or different within uncertainty? 




  Table 3:  Sum of the Dot-to-dot displacement vectors

                       Pirate                          Ninja

                X (cm)       Y (cm)              X (cm)        Y (cm)
--------------------------------------------------------------------------

 r12           +/-              +/-                +/-            +/-

 r23           +/-              +/-                +/-            +/-

 r31           +/-              +/-                +/-            +/-
==========================================================================

 Sum           +/-              +/-                +/-            +/-

--------------------------------------------------------------------------



  Question 3:
      a) What do you EXPECT the result of this vector sum should be?


      b) Do your results agree with your expectation, within uncertainties?