Solving Vector Components: East-West and North-South Directions

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To solve for the vector components of a person's displacement, the east-west direction corresponds to the x-axis and the north-south direction to the y-axis. The person drives 47 km west, which gives a negative x component of -47 km, and then drives 156 km south, resulting in a negative y component of -156 km. By recognizing the orientation of the axes, the signs for the components can be determined easily. A sketch can aid in visualizing the problem, making the solution more straightforward. Ultimately, the x and y components of the resultant displacement are -47 km and -156 km, respectively.
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Vectors (HELP!)

Homework Statement



Consider a map oriented so that the x-axis runs east*west (with east being the “positive” direction), and y runs north*south (with north “positive”). A person drives 47 km to the west, then turns and drives 156 km towards the south.

Find x and y components



Homework Equations





The Attempt at a Solution



I have no idea how to solve this, I having been trying for 3 hours! I am not sure how to start.

Thanks!
 
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I think your question is to find the x and y components of the resultant displacement. Is that the entire question? Start by drawing a sketch. The answer may be staring you in the face.
 


This is a relatively easy question,

if x = the line of east and west than a person that drives west is also driving in the x direction

if y = the line of north and south than a person that drives south is also driving in the y direction

i think that's enough clue, now figure the signs by yourself
 


Thanks, I figured it out. It was really easy and it really was staring me in the face!
 
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