Homework Problems
1 
The figure shows vectors A and B. Graphically calculate the
following:
A + B, A  B, B  A, 2B, A  2B
No numbers are involved.
 
2  Phnom Penh is 470 km east and 250 km south of Bangkok.
Hanoi is 60 km east and 1030 km north of Phnom Penh.
(a) Choose a coordinate system, and translate these data into Δx
and Δy values with the proper plus and minus signs.
(b) Find the components of the Δr vector pointing from Bangkok
to Hanoi.
 √ 
3  If you walk 35 km at an angle 25 ° counterclockwise from east,
and then 22 km at 230 ° counterclockwise from east, find the distance
and direction from your starting point to your destination.
 √ 
4  A machinist is drilling holes in a piece of aluminum according
to the plan shown in the figure. She starts with the top hole, then
moves to the one on the left, and then to the one on the right. Since
this is a highprecision job, she finishes by moving in the direction
and at the angle that should take her back to the top hole, and
checks that she ends up in the same place. What are the distance
and direction from the righthand hole to the top one?  √ 
