# calc

The points P(-2, 1), Q(-6, 4) and R(4,3) are three verticies of parallelogram PQRS .
Find the coordinate S.

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1. let S(a,b) be the other point

vector PS = vector QR
[a+2,b-1] = [10,-1]

a+2=10 ---> a = 8
b-1=-1 ---> b = 0

S is (8,0)

Check by finding slope of SR and PQ, it works

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