Vector u has initial point at (6, 8) and terminal point at (3, –2). Vector v has initial point at (–4, –3) and terminal point at (1, –7).What is u – v in component form?

Find each vector by subtracting its initial point from its terminal point: u = ⟨3 − 6, −2 − 8⟩ = ⟨−3, −10⟩, and v = ⟨1 − (−4), −7 − (−3)⟩ = ⟨5, −4⟩. Then subtract component by component: u − v = ⟨−3 − 5, −10 − (−4)⟩ = ⟨−8, −6⟩. The answer is A, ⟨−8, −6⟩.

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