Each problem is worth 5 points, show all work for partial credit.

1. Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your position?
 
 

2. Find a unit vector that has the same direction as the vector <9, -5>.
 
 

3. If a=<4,-1> and b=<3,6>, find a dot b.