Question

A Builder is trying to level out some ground with a front end loader. He picks up some excess dirt at (7,17) and then maneuvers through the job site along the vectors (-1,0) ,(2,7) ,(2,10) to get to the spot to unload the dirt. Find the coordinates of the unloading point. Find a single vector from the loading point to the unloading point.

Answer 1

vectors give us direction and distance. the first part of our ordered pair moves us in the x direction (left and right), and the second member of the ordered pair moves us in the y direction (up and down)

if you plotted each point along the move, you would go from (7,17) and move -1 in the x direction and 0 in the y, ending up at (6,17). From there, we move 2 in the x direction and 7 in the y, to (8,24).

basically we just add all of the x's together and the y's together since we are moving in a specific direction from a point to a new point.

so

x=7+-1+2+2=10
y=17+0+7+10=34

and we end up at (10,34)