10
QuizMultiple Choice

Dot Product and Work — Unit test

Question 10 • Precalculus

Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors?

Answer
A
7.1°
B
60.3°
C
119.7°
D
172.9°

Explanation

Use cos θ = (u · v) / (|u||v|). The dot product is (−3)(2) + (2)(1) = −4, and the vector lengths are √13 and √5, so cos θ = −4/√65. Taking the inverse cosine gives θ ≈ 119.7°, so the angle is 119.7° (choice C).

AI-written and checked against the verified answer.

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