8. The complete answer for displacement is as follows: This has now, both magnitude and direction. It is a complete vector. The walker was displaced this much and in this direction. 9. Vectors may also be used to describe a summation of velocities. Consider if you jumped into a river with a current flowing to the right at 2 m/s and you swam pointing directly to the other shore, moving through the water at 6 m/s. Yes you will be blown downstream. There are two vectors involved. Your water speed 6m/s, and the current speed 2m/s. Current speed Notice how the (2 m/s) Resulting vectors were Water speed velocity arranged (6 m/s) 6 m/s 2 m/s 10. You will move North East as shown here with respect to the shore. The angle in here will be and the hypotenuse will be This value is known as the _. Every vector can be broken down into its which are in the x & y directions. In the previous examples, the vectors used were relatively simple vectors since they were pointing in purely N,S,E, or West directions. These vectors still had both x & y components, but either their x component or their y component were Example: Current speed Water speed x component: 2 m/s x component: 0 m/s y component: 0 m/s y component: 6 m/s