17
QuizMultiple Choice

Modeling with Vector Quantities — Test

Question 17 • Precalculus

The magnitude of vector u is 34 , and the magnitude of vector v is 20 The dot product vector u times vector v is equal to negative 10 What is the approximate angle between the vectors?

Answer
A
89 degrees
B
79 degrees
C
101 degrees
D
91 degrees

Explanation

Use the dot product formula: u · v = |u||v| cos θ. Thus cos θ = -10/(34 × 20) ≈ -0.0147, so θ = cos⁻¹(-0.0147) ≈ 90.8°. Rounded to the nearest degree, the angle is 91 degrees, choice D.

AI-written and checked against the verified answer.

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