4
AssignmentMultiple Choice

Dot Product and Work

Question 4 • Precalculus

Find the dot product of vectors u and v, where |u| = 12, |v| = 7, and the angle between is θ = 55°.

Answer
A
u · v = 68.81
B
u · v = 48.18
C
u · v = 10.90
D
u · v = 2.87

Explanation

Use the dot product formula u · v = |u||v| cos θ. Substituting the given magnitudes and angle gives 12 × 7 × cos(55°) ≈ 84 × 0.5736 ≈ 48.18. The correct choice is u · v = 48.18.

AI-written and checked against the verified answer.

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