4
QuizMultiple Choice

Dot Product and Work

Question 4 • Precalculus

Given vectors u and v, with |u| = 10 and |v| = 12, and the angle between the vectors is 53°, what is u · v?

Answer
A
0.72
B
1.20
C
13.24
D
72.22

Explanation

Use the dot product formula u · v = |u||v| cos θ. Substituting the given magnitudes and angle gives 10 × 12 × cos(53°) ≈ 120 × 0.6018 ≈ 72.22, so the correct choice is 72.22.

AI-written and checked against the verified answer.

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