581
QuizMultiple Choice

Modeling with Rational Functions — Unit test

Question 581 • Crowley Credit Recovery Algebra II B

Given vectors u = ⟨3, 4⟩ and v = ⟨4, 3⟩, what is the measure of the angle between the vectors?

Answer
A
0°
B
16.3°
C
163.7°
D
Undefined

Explanation

Use the dot product formula: cos θ = (u · v) / (|u||v|). The dot product is 3(4) + 4(3) = 24, and each vector has length 5, so cos θ = 24/25 = 0.96. Thus θ = cos⁻¹(0.96) ≈ 16.3°, which is choice B.

AI-written and checked against the verified answer.

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