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A Builder is trying to level out some ground with a front end loader. He picks up some excess dirt at (9,16) and then maneuvers through the job site along the vectors (-6,0) ,(2,5) ,(8,10) 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.

Respuesta :

The starting point is O (9, 16)

A move along the vector (-6, 0) lands at
(9-6, 16+0) = (3, 16)
A move along the vector (2, 5) lands at
(3+2, 16+5) = (5, 21).
A move along the vector (8, 10) lands at
(5+8, 21+10) = (13, 31).

The unloading point is Q (13, 31).

A vector from P to Q is
(13, 31) - (9,16) = (4, 15)

The graph below illustrates the travel scenario.

Answer:
The unloading point has coordinates (13, 31).
The vector from the loading point to the unloading point is (4, 15)
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