Let q = ⟨15, –3⟩, r = ⟨–5, 8⟩, and s = ⟨10, –1⟩. What is r – q + 2s?

Subtract the vectors component by component: r − q = ⟨−5 − 15, 8 − (−3)⟩ = ⟨−20, 11⟩. Double s to get 2s = ⟨20, −2⟩, then add: ⟨−20, 11⟩ + ⟨20, −2⟩ = ⟨0, 9⟩. The result is choice B, ⟨0, 9⟩.

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