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  1. Coefficients of a vector in a basis ●●○○○ 20 ptsGiven vectors a⃗=(1,−1)\vec{a} = (1, -1), b⃗=(2,1)\vec{b} = (2, 1) and c⃗=(−2,1)\vec{c} = (-2, 1), suppose c⃗=xa⃗+yb⃗\vec{c} = x\vec{a} + y\vec{b} with x,y∈Rx, y \in \mathbb{R}. Find x−yx - y.