For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w?

Add the vectors component by component: the first coordinates give 2 + 4 + (−12) = −6, and the second coordinates give 9 + (−8) + 4 = 5. Therefore, u + v + w = ⟨−6, 5⟩, which is choice C.

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