20
QuizMultiple Choice

Dot Product and Work — Unit test

Question 20 • Precalculus

Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t?

Answer
A
⟨55, 9⟩
B
⟨55, 15⟩
C
⟨73, 6⟩
D
⟨73, 15⟩

Explanation

Multiply each component of r by 10: 10r = ⟨70, 10⟩. Then add s and subtract t componentwise: ⟨70, 10⟩ + ⟨–6, 2⟩ – ⟨–9, –3⟩ = ⟨70 – 6 + 9, 10 + 2 + 3⟩ = ⟨73, 15⟩. The result is choice D, ⟨73, 15⟩.

AI-written and checked against the verified answer.

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