Question

A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (8, 19) and then maneuvers through the job site along the vectors angleleft−4, 0angleright, angleleft2, 8angleright, angleleft8, 10angleright 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

He picks up some excess dirt at (8, 19) and then maneuvers through the job site along the vectors (-4,0) ,(2,8) ,(8,10) to get to the spot to unload the dirt.

The starting point is (8, 19)

He move along the vector (-4,0) lands at

(8-4, 19+0) = (4, 19)

Then he starts at (4,19) and move along the vector (2,8) lands at

(4+2, 19+8) = (6, 27).

Then he starts at (6,27) and move along the vector (8,10) lands at

(6+8, 27+10) = (14, 37).

The unloading point is (14, 37).

A single vector from the loading point to the unloading point is

(14, 37) - (8, 19) = (6, 18)