Given |u| = 8, |v| = 6, and the angle between is θ = 40°, find the approximate value of u · v.

Use the dot product formula u · v = |u||v| cos θ. Substituting the given values gives 8 × 6 × cos 40° ≈ 48 × 0.766 = 36.77. Therefore, the approximate value is 36.77, choice C.

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