32
QuizMultiple Choice

Applying Vectors in the Plane — Cumulative exam

Question 32 • Precalculus

Let r = ⟨5, –1⟩, s = ⟨6, 0⟩, and t = ⟨–1, –3⟩. Aaron incorrectly determined 2r + 4s – 7t as ⟨41, –23⟩. Review his calculations.2r + 4s – 7t2⟨5, –1⟩ + 4⟨6, 0⟩ – 7⟨–1, –3⟩⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩⟨41, –23⟩

Answer
A
He added ⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩ incorrectly.
B
He should have subtracted ⟨7, –21⟩ rather than add.
C
He did not correctly distribute 4 to both components of s.
D
He did not correctly distribute the negative when subtracting 7t.
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