Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).What is u + v in component form?

Find each vector by subtracting its initial point from its terminal point: u = ⟨−7 − 3, 5 − 9⟩ = ⟨−10, −4⟩, and v = ⟨6 − 1, −1 − (−4)⟩ = ⟨5, 3⟩. Add corresponding components: u + v = ⟨−10 + 5, −4 + 3⟩ = ⟨−5, −1⟩. This is choice B.

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