Solutions to Vector Exercises

1. PP = 0, the 0 vector.

2. The magnitude of the vector which represents the displacement between the point (1,2,3) and the point (4,5,6) is sqrt( (4-1)² + (5-2)² + (6-3)² ) = 3 sqrt(3).

3. i corresponds to (1,0,0), j corresponds to (0,1,0), and k corresponds to (1,0,0).

4. The force that gravity exerts on a person near the Earth's surface can be described by a vector with magnitude g and direction down.

5. If two sides of a quadilateral are parallel, then the quadilateral is a parallelogram and the other two sides are parallel as well.