Vector quantities are quantities like displacement and force (to name just two) that are fully described by expressing a magnitude (or numerical value) and a direction. Agreed-upon conventions are required to express the direction of any vector that is not aligned with the traditional east-west-north-south compass directions. One convention involves identifying the angle and direction of rotation that the vector makes with one of the two nearby axes (or compass directions). 
 

The convention used in this question involves expressing the direction of the vector as an angle of rotation from one of the nearby axes. The three versions of this question all include vectors that are exactly midway between the axes. For instance, the North and West vector is both 45° from North and 45° from West. This makes the expression of the vector easier than other questions in this activity. The second quadrant vector is both 45° North of West and 45° West of North.

If you are unsure of the 45° measurement, you can use the protractor to verify. The protractor can be dragged on top of the vector so that the origin of the protractor lies at the tail of the vector; that's the dot ... not the arrowhead. Bold markings are shown every 15°. This allows you to measure the angle of rotation.