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ACT · Question of the Day

ACT Question of the Day

A fresh daily question to build accuracy, reinforce recall, and turn practice into a steady habit.
Monday, September 21, 2026

If v=⟨9,−3⟩\mathbf{v} = \langle 9, -3 \rangle and w=⟨−2,4⟩\mathbf{w} = \langle -2, 4 \rangle, what is v+w\mathbf{v} + \mathbf{w}?

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Question of the Day

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If v=⟨9,−3⟩\mathbf{v} = \langle 9, -3 \rangle and w=⟨−2,4⟩\mathbf{w} = \langle -2, 4 \rangle, what is v+w\mathbf{v} + \mathbf{w}?

  1. \langle 7, 7 \rangle
  2. \langle 11, 1 \rangle
  3. \langle 7, -7 \rangle
  4. \langle 7, 1 \rangle (correct answer)

Explanation: This problem asks for vector addition v + w where v = ⟨9, -3⟩ and w = ⟨-2, 4⟩. For vector addition, angle brackets a comma b plus angle brackets c comma d equals angle brackets a plus c comma b plus d. Calculating: v plus w equals angle brackets 9 comma negative 3 plus angle brackets negative 2 comma 4 equals angle brackets 9 plus negative 2 comma negative 3 plus 4 equals angle brackets 7 comma 1. Add corresponding components.