Vectors can represent both magnitude and direction. The document provides three example problems involving vectors: (1) finding the component form of an airplane's velocity descending at 100 mph at a 23 degree angle, (2) determining the resultant speed and direction of an airplane traveling at 724 kph at N30E with 32 kph wind from the west, and (3) finding the direction and magnitude of the resultant of three forces with magnitudes of 75, 100, and 125 pounds acting at 30, 45, and 120 degree angles. The document concludes with homework assignment problems involving these vector concepts.