A football field's length is exactly 100 yards, and its width is 53 1/3 yards. A quarterback stands at the exact center of the field and throws a pass to a receiver standing at one corner of the field. Let the origin of coordinates be at the center of the football field and the x-axis point along the longer side of the field, with they-direction parallel to the shorter side of the field.
a) Write the direction and length of a vector pointing from the quarterback to the receiver.
b) Consider the other three possibilities for the location of the receiver at corners of the field. Repeat part (a) for each.