A treasure map you uncovered while vacationing on the Spanish Coast reads as fol

Question

A treasure map you uncovered while vacationing on the Spanish Coast reads as follows: "If me treasure ye wants, me hoard ye'll have, just follow thee directions these. Step to the south from Brisbain's Mouth, 9 paces through the trees. Then to the west, 10 paces ye'll quest, with mud as deep as yer knees. Then 3 paces more north, and dig straight down in the Earth, and me treasure, take it please." What is the displacement vector from Brisbain's Mouth to the spot on the Earth above the treasure? Consider east the positive x direction and north the positive y direction.

The answer needs to fit the format of (# , #paces)

Explanation / Answer

If (x,y) represents the displacement vector, then the displacement vector for the first leg of the path would be (0,-9). The second leg would be (-10,0), and the third leg would be (0, +3). The total displacement is just the sum of these vectors:

displacement = ((0 - 10 + 0), (-9 + 0 + 3)) = (-10, -6)

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