Let u = ⟨1, 5⟩, v = ⟨–3, 3⟩, and w = ⟨2, 3⟩. What is the direction angle of 4w – (2u + v)?

Compute each vector: 4w = ⟨8, 12⟩ and 2u + v = ⟨2, 10⟩ + ⟨−3, 3⟩ = ⟨−1, 13⟩. Their difference is ⟨8, 12⟩ − ⟨−1, 13⟩ = ⟨9, −1⟩. This vector is just below the positive x-axis, with angle arctan(−1/9) ≈ −6.3°. As a direction angle from 0° to 360°, that is 360° − 6.3° = 353.7°, choice D.

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